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#Set training data and test data
train = read.csv("train.csv", stringsAsFactors = F)
test = read.csv("test.csv", stringsAsFactors = F)

Histogram/Plot the attributes

library(ggplot2)
hist(train$MSSubClass)

hist(test$MSSubClass)

boxplot(train$MSSubClass)

boxplot(test$MSSubClass)

library(ggplot2)
train1 <- data.frame(train$MSZoning)
ggplot(train1) + geom_bar(aes(x=train$MSZoning))

test1 <- data.frame(test$MSZoning)
ggplot(test1) + geom_bar(aes(x=test$MSZoning))

Mode <- function(x) {
  ux <- unique(x)
  ux[which.max((tabulate(match(x, ux))))]
}
hist(train$LotFrontage)

hist(test$LotFrontage)

boxplot(train$LotFrontage)

boxplot(test$LotFrontage)

median(train$LotFrontage, na.rm= TRUE)
## [1] 69
median(test$LotFrontage, na.rm= TRUE)
## [1] 67
hist(train$LotArea, xlim = c(0,55000))

hist(test$LotArea, xlim = c(0,55000))

boxplot(train$LotArea)

boxplot(test$LotArea)

summary(train$LotArea)
##    Min. 1st Qu.  Median    Mean 3rd Qu.    Max. 
##    1300    7554    9478   10517   11602  215245
summary(test$LotArea)
##    Min. 1st Qu.  Median    Mean 3rd Qu.    Max. 
##    1470    7391    9399    9819   11518   56600
train2 <- data.frame(train$Street)
ggplot(train2) + geom_bar(aes(x=train$Street))

test2 <- data.frame(test$Street)
ggplot(test2) + geom_bar(aes(x=test$Street))

train3 <- data.frame(train$Alley)
ggplot(train3) + geom_bar(aes(x=train$Alley))

test3<- data.frame(test$Alley)
ggplot(test3) + geom_bar(aes(x=test$Alley)) 

train4 <- data.frame(train$LotShape)
ggplot(train4) + geom_bar(aes(x=train$LotShape))

test4<- data.frame(test$LotShape)
ggplot(test4) + geom_bar(aes(x=test$LotShape)) 

train5 <- data.frame(train$LandContour)
ggplot(train5) + geom_bar(aes(x=train$LandContour))

test5<- data.frame(test$LandContour)
ggplot(test5) + geom_bar(aes(x=test$LandContour)) 

train6 <- data.frame(train$Utilities)
ggplot(train6) + geom_bar(aes(x=train$Utilities))

test6<- data.frame(test$Utilities)
ggplot(test6) + geom_bar(aes(x=test$Utilities)) 

train6 <- data.frame(train$LotConfig)
ggplot(train6) + geom_bar(aes(x=train$LotConfig))

test6<- data.frame(test$LotConfig)
ggplot(test6) + geom_bar(aes(x=test$LotConfig))

train6 <- data.frame(train$LandSlope)
ggplot(train6) + geom_bar(aes(x=train$LandSlope))

test6<- data.frame(test$LandSlope)
ggplot(test6) + geom_bar(aes(x=test$LandSlope))

train6 <- data.frame(train$Neighborhood)
ggplot(train6) + geom_bar(aes(x=train$Neighborhood))

test6<- data.frame(test$Neighborhood)
ggplot(test6) + geom_bar(aes(x=test$Neighborhood))

train6 <- data.frame(train$Condition1)
ggplot(train6) + geom_bar(aes(x=train$Condition1))

test6<- data.frame(test$Condition1)
ggplot(test6) + geom_bar(aes(x=test$Condition1))

train6 <- data.frame(train$Condition2)
ggplot(train6) + geom_bar(aes(x=train$Condition2))

test6<- data.frame(test$Condition2)
ggplot(test6) + geom_bar(aes(x=test$Condition2))

train6 <- data.frame(train$BldgType)
ggplot(train6) + geom_bar(aes(x=train$BldgType))

test6<- data.frame(test$BldgType)
ggplot(test6) + geom_bar(aes(x=test$BldgType))

train6 <- data.frame(train$HouseStyle)
ggplot(train6) + geom_bar(aes(x=train$HouseStyle))

test6<- data.frame(test$HouseStyle)
ggplot(test6) + geom_bar(aes(x=test$HouseStyle))

train6 <- data.frame(train$OverallQual)
ggplot(train6) + geom_bar(aes(x=train$OverallQual))

test6<- data.frame(test$OverallQual)
ggplot(test6) + geom_bar(aes(x=test$OverallQual))

train6 <- data.frame(train$OverallCond)
ggplot(train6) + geom_bar(aes(x=train$OverallCond))

test6<- data.frame(test$OverallCond)
ggplot(test6) + geom_bar(aes(x=test$OverallCond))

hist(train$YearBuilt)

hist(test$YearBuilt)

hist(train$YearRemodAdd)

hist(test$YearRemodAdd)

train6 <- data.frame(train$RoofStyle)
ggplot(train6) + geom_bar(aes(x=train$RoofStyle))

test6<- data.frame(test$RoofStyle)
ggplot(test6) + geom_bar(aes(x=test$RoofStyle))

train6 <- data.frame(train$RoofMatl)
ggplot(train6) + geom_bar(aes(x=train$RoofMatl))

test6<- data.frame(test$RoofMatl)
ggplot(test6) + geom_bar(aes(x=test$RoofMatl))

test6<- data.frame(test$RoofStyle)
ggplot(test6) + geom_bar(aes(x=test$RoofStyle))

test6<- data.frame(train$RoofStyle)
ggplot(test6) + geom_bar(aes(x=train$RoofStyle))

test6<- data.frame(train$Exterior1st)
ggplot(test6) + geom_bar(aes(x=train$Exterior1st))

test6<- data.frame(test$Exterior1st)
ggplot(test6) + geom_bar(aes(x=test$Exterior1st))

test6<- data.frame(train$Exterior2nd)
ggplot(test6) + geom_bar(aes(x=train$Exterior2nd))

test6<- data.frame(test$Exterior1st)
ggplot(test6) + geom_bar(aes(x=test$Exterior2nd))

test6<- data.frame(train$MasVnrType)
ggplot(test6) + geom_bar(aes(x=train$MasVnrType))

test6<- data.frame(test$MasVnrType)
ggplot(test6) + geom_bar(aes(x=test$MasVnrType))

hist(train$MasVnrArea)

hist(test$MasVnrArea)

test6<- data.frame(train$ExterQual)
ggplot(test6) + geom_bar(aes(x=train$ExterQual))

test6<- data.frame(test$ExterQual)
ggplot(test6) + geom_bar(aes(x=test$ExterQual))

test6<- data.frame(train$ExterCond)
ggplot(test6) + geom_bar(aes(x=train$ExterCond))

test6<- data.frame(test$ExterCond)
ggplot(test6) + geom_bar(aes(x=test$ExterCond))

test6<- data.frame(train$Foundation)
ggplot(test6) + geom_bar(aes(x=train$Foundation))

test6<- data.frame(test$ExterCond)
ggplot(test6) + geom_bar(aes(x=test$Foundation))

ggplot(data.frame(train$BsmtQual)) + geom_bar(aes(x=train$BsmtQual))

ggplot(data.frame(test$BsmtQual)) + geom_bar(aes(x=test$BsmtQual))

ggplot(data.frame(train$BsmtCond)) + geom_bar(aes(x=train$BsmtCond))

ggplot(data.frame(test$BsmtCond)) + geom_bar(aes(x=test$BsmtCond))

ggplot(data.frame(train$BsmtExposure)) + geom_bar(aes(x=train$BsmtExposure))

ggplot(data.frame(test$BsmtExposure)) + geom_bar(aes(x=test$BsmtExposure))

ggplot(data.frame(train$BsmtFinType1)) + geom_bar(aes(x=train$BsmtFinType1))

ggplot(data.frame(test$BsmtFinType1)) + geom_bar(aes(x=test$BsmtFinType1))

hist(train$BsmtFinSF1)

hist(test$BsmtFinSF1)

ggplot(data.frame(train$BsmtFinType2)) + geom_bar(aes(x=train$BsmtFinType2))

ggplot(data.frame(test$BsmtFinType2)) + geom_bar(aes(x=test$BsmtFinType2))

hist(train$BsmtFinSF2)

hist(test$BsmtFinSF2)

hist(train$BsmtUnfSF)

hist(test$BsmtUnfSF)

hist(train$TotalBsmtSF)

hist(test$TotalBsmtSF)

ggplot(data.frame(train$Heating)) + geom_bar(aes(x=train$Heating))

ggplot(data.frame(test$Heating)) + geom_bar(aes(x=test$Heating))

ggplot(data.frame(train$HeatingQC)) + geom_bar(aes(x=train$HeatingQC))

ggplot(data.frame(test$HeatingQC)) + geom_bar(aes(x=test$HeatingQC))

ggplot(data.frame(train$CentralAir)) + geom_bar(aes(x=train$CentralAir))

ggplot(data.frame(test$CentralAir)) + geom_bar(aes(x=test$CentralAir))

ggplot(data.frame(train$CentralAir)) + geom_bar(aes(x=train$CentralAir))

ggplot(data.frame(test$CentralAir)) + geom_bar(aes(x=test$CentralAir))

ggplot(data.frame(train$Electrical)) + geom_bar(aes(x=train$Electrical))

ggplot(data.frame(test$Electrical)) + geom_bar(aes(x=test$Electrical))

hist(train$X1stFlrSF)

hist(test$X1stFlrSF)

mean(train$X1stFlrSF)
## [1] 1162.627
mean(test$X1stFlrSF)
## [1] 1156.535
hist(train$X2ndFlrSF)

hist(test$X2ndFlrSF)

mean(train$X2ndFlrSF)
## [1] 346.9925
mean(test$X2ndFlrSF)
## [1] 325.9678
hist(train$LowQualFinSF)

hist(test$LowQualFinSF)

mean(train$LowQualFinSF)
## [1] 5.844521
mean(test$LowQualFinSF)
## [1] 3.543523
hist(train$GrLivArea)

hist(test$GrLivArea)

mean(train$GrLivArea)
## [1] 1515.464
mean(test$GrLivArea)
## [1] 1486.046
hist(train$BsmtFullBath)

hist(test$BsmtFullBath)

hist(train$BsmtHalfBath)

hist(test$BsmtHalfBath)

hist(train$BedroomAbvGr)

hist(test$Bedroom)

hist(train$KitchenAbvGr)

hist(test$KitchenAbvGr)

ggplot(data.frame(train$KitchenQual)) + geom_bar(aes(x=train$KitchenQual))

ggplot(data.frame(test$KitchenQual)) + geom_bar(aes(x=test$KitchenQual))

hist(train$TotRmsAbvGrd)

hist(test$TotRmsAbvGrd)

ggplot(data.frame(train$Functional)) + geom_bar(aes(x=train$Functional))

ggplot(data.frame(test$Functional)) + geom_bar(aes(x=test$Functional))

hist(train$Fireplaces)

hist(test$Fireplaces)

ggplot(data.frame(train$FireplaceQu)) + geom_bar(aes(x=train$FireplaceQu))

ggplot(data.frame(test$FireplaceQu)) + geom_bar(aes(x=test$FireplaceQu))

ggplot(data.frame(train$GarageType)) + geom_bar(aes(x=train$GarageType))

ggplot(data.frame(test$GarageType)) + geom_bar(aes(x=test$GarageType))

hist(train$GarageYrBlt)

hist(test$GarageYrBlt)

ggplot(data.frame(train$GarageFinish)) + geom_bar(aes(x=train$GarageFinish))

ggplot(data.frame(test$GarageFinish)) + geom_bar(aes(x=test$GarageFinish))

hist(train$GarageArea)

hist(test$GarageArea)

mean(train$GarageArea)
## [1] 472.9801
mean(test$GarageArea)
## [1] NA
ggplot(data.frame(train$GarageQual)) + geom_bar(aes(x=train$GarageQual))

ggplot(data.frame(test$GarageQual)) + geom_bar(aes(x=test$GarageQual))

ggplot(data.frame(train$GarageCond)) + geom_bar(aes(x=train$GarageCond))

ggplot(data.frame(test$GarageCond)) + geom_bar(aes(x=test$GarageCond))

ggplot(data.frame(train$PavedDrive)) + geom_bar(aes(x=train$PavedDrive))

ggplot(data.frame(test$PavedDrive)) + geom_bar(aes(x=test$PavedDrive))

hist(train$WoodDeckSF)

hist(test$WoodDeckSF)

hist(train$OpenPorchSF)

hist(test$OpenPorchSF)

hist(train$EnclosedPorch)

hist(test$EnclosedPorch)

hist(train$X3SsnPorch)

hist(test$X3SsnPorch)

hist(train$ScreenPorch)

hist(test$ScreenPorch)

hist(train$PoolArea)

hist(test$PoolArea)

ggplot(data.frame(train$PoolQC)) + geom_bar(aes(x=train$PoolQC))

ggplot(data.frame(test$PoolQC)) + geom_bar(aes(x=test$PoolQC))

ggplot(data.frame(train$Fence)) + geom_bar(aes(x=train$Fence))

ggplot(data.frame(test$Fence)) + geom_bar(aes(x=test$Fence))

ggplot(data.frame(train$MiscFeature)) + geom_bar(aes(x=train$MiscFeature))

ggplot(data.frame(test$MiscFeature)) + geom_bar(aes(x=test$MiscFeature))

hist(train$MiscVal)

hist(test$MiscVal)

mean(train$MiscVal)
## [1] 43.48904
mean(test$MiscVal)
## [1] 58.16792
hist(train$MoSold)

hist(test$MoSold)

hist(train$YrSold)

hist(test$YrSold)

ggplot(data.frame(train$SaleType)) + geom_bar(aes(x=train$SaleType))

ggplot(data.frame(test$SaleType)) + geom_bar(aes(x=test$SaleType))

ggplot(data.frame(train$SaleCondition)) + geom_bar(aes(x=train$SaleCondition))

ggplot(data.frame(test$SaleCondition)) + geom_bar(aes(x=test$SaleCondition))

Dimensions of the dataset for both the train and test dataset.

#Get dimensions of the train dataset
#There are 1,460 rows
nrow(train)
## [1] 1460
#There are 81 columns
ncol(train)
## [1] 81
#Get dimensions of the test data
#There are 1,459 rows in the test data
nrow(test)
## [1] 1459
#There are 80 columns in the test data
ncol(test)
## [1] 80

Determine features/variables that are categorical and numerical in nature in the train dataset

categoricalTrain <- names(which(sapply(train, class) == "character"))
#43 features are categorical in nature
length(categoricalTrain)
## [1] 43
categoricalTrain
##  [1] "MSZoning"      "Street"        "Alley"         "LotShape"     
##  [5] "LandContour"   "Utilities"     "LotConfig"     "LandSlope"    
##  [9] "Neighborhood"  "Condition1"    "Condition2"    "BldgType"     
## [13] "HouseStyle"    "RoofStyle"     "RoofMatl"      "Exterior1st"  
## [17] "Exterior2nd"   "MasVnrType"    "ExterQual"     "ExterCond"    
## [21] "Foundation"    "BsmtQual"      "BsmtCond"      "BsmtExposure" 
## [25] "BsmtFinType1"  "BsmtFinType2"  "Heating"       "HeatingQC"    
## [29] "CentralAir"    "Electrical"    "KitchenQual"   "Functional"   
## [33] "FireplaceQu"   "GarageType"    "GarageFinish"  "GarageQual"   
## [37] "GarageCond"    "PavedDrive"    "PoolQC"        "Fence"        
## [41] "MiscFeature"   "SaleType"      "SaleCondition"
print("   ")
## [1] "   "
#Count the number of features that are numerical in the test dataset
numericalTrain <- names(which(sapply(train, class) != "character"))
#38 features are numerical in nature
length(numericalTrain)
## [1] 38
numericalTrain
##  [1] "Id"            "MSSubClass"    "LotFrontage"   "LotArea"      
##  [5] "OverallQual"   "OverallCond"   "YearBuilt"     "YearRemodAdd" 
##  [9] "MasVnrArea"    "BsmtFinSF1"    "BsmtFinSF2"    "BsmtUnfSF"    
## [13] "TotalBsmtSF"   "X1stFlrSF"     "X2ndFlrSF"     "LowQualFinSF" 
## [17] "GrLivArea"     "BsmtFullBath"  "BsmtHalfBath"  "FullBath"     
## [21] "HalfBath"      "BedroomAbvGr"  "KitchenAbvGr"  "TotRmsAbvGrd" 
## [25] "Fireplaces"    "GarageYrBlt"   "GarageCars"    "GarageArea"   
## [29] "WoodDeckSF"    "OpenPorchSF"   "EnclosedPorch" "X3SsnPorch"   
## [33] "ScreenPorch"   "PoolArea"      "MiscVal"       "MoSold"       
## [37] "YrSold"        "SalePrice"

Determine features/variables that are categorical and numerical in nature in the test dataset

categoricalTest <- names(which(sapply(test, class) == "character"))
#43 features are categorical in nature
length(categoricalTest)
## [1] 43
numericalTest <- names(which(sapply(test, class) != "character"))
#37 features are numerical in nature
length(numericalTest)
## [1] 37
#There is a discrepancy in the number of features between the test and train dataset
trainColumns <- colnames(train)
testColumns <- colnames(test)

#The result is the SalePrice attribute is missing in the test dataset but that is to be expected.
matchV <- match(trainColumns, testColumns)
head(train[is.na(matchV)])

It can be noted that the following categorical features are noted with “NA” but it does not necessarily mean that the feature has an invalid value due to error but it actually does not possess the physical feature.

#Quick structure look of the train dataset
#str(train)

print("Train dataset that have NA values")
## [1] "Train dataset that have NA values"
for (col in 1:ncol(train)) {
  x<- colnames(train[col])
  y<- sum(is.na(train[col]))
  if (y > 0) {
    print(paste(x,y))
  }
}
## [1] "LotFrontage 259"
## [1] "Alley 1369"
## [1] "MasVnrType 8"
## [1] "MasVnrArea 8"
## [1] "BsmtQual 37"
## [1] "BsmtCond 37"
## [1] "BsmtExposure 38"
## [1] "BsmtFinType1 37"
## [1] "BsmtFinType2 38"
## [1] "Electrical 1"
## [1] "FireplaceQu 690"
## [1] "GarageType 81"
## [1] "GarageYrBlt 81"
## [1] "GarageFinish 81"
## [1] "GarageQual 81"
## [1] "GarageCond 81"
## [1] "PoolQC 1453"
## [1] "Fence 1179"
## [1] "MiscFeature 1406"
print("Test data that have NA values")
## [1] "Test data that have NA values"
for (col in 1:ncol(test)) {
  x<- colnames(test[col])
  y<- sum(is.na(test[col]))
  if (y > 0) {
    print(paste(x,y))
  }
}
## [1] "MSZoning 4"
## [1] "LotFrontage 227"
## [1] "Alley 1352"
## [1] "Utilities 2"
## [1] "Exterior1st 1"
## [1] "Exterior2nd 1"
## [1] "MasVnrType 16"
## [1] "MasVnrArea 15"
## [1] "BsmtQual 44"
## [1] "BsmtCond 45"
## [1] "BsmtExposure 44"
## [1] "BsmtFinType1 42"
## [1] "BsmtFinSF1 1"
## [1] "BsmtFinType2 42"
## [1] "BsmtFinSF2 1"
## [1] "BsmtUnfSF 1"
## [1] "TotalBsmtSF 1"
## [1] "BsmtFullBath 2"
## [1] "BsmtHalfBath 2"
## [1] "KitchenQual 1"
## [1] "Functional 2"
## [1] "FireplaceQu 730"
## [1] "GarageType 76"
## [1] "GarageYrBlt 78"
## [1] "GarageFinish 78"
## [1] "GarageCars 1"
## [1] "GarageArea 1"
## [1] "GarageQual 78"
## [1] "GarageCond 78"
## [1] "PoolQC 1456"
## [1] "Fence 1169"
## [1] "MiscFeature 1408"
## [1] "SaleType 1"

To combat this issue, we will replace the “NA” in these to their actual value based on the data description text file.

#Put as 0
train$Alley[is.na(train$Alley)] = "No alley access"
test$Alley[is.na(test$Alley)] = "No alley access"

train$BsmtQual[is.na(train$BsmtQual)] = "No Basement"
test$BsmtQual[is.na(test$BsmtQual)] = "No Basement"

train$BsmtCond[is.na(train$BsmtCond)] = "No Basement"
test$BsmtCond[is.na(test$BsmtCond)] = "No Basement"

train$BsmtExposure[is.na(train$BsmtExposure)] = "No Basement"
test$BsmtExposure[is.na(test$BsmtExposure)] = "No Basement"

train$BsmtFinType1[is.na(train$BsmtFinType1)] = "No Basement"
test$BsmtFinType1[is.na(test$BsmtFinType1)] = "No Basement"

train$BsmtFinType2[is.na(train$BsmtFinType2)] = "No Basement"
test$BsmtFinType2[is.na(test$BsmtFinType2)] = "No Basement"

train$FireplaceQu[is.na(train$FireplaceQu)] = "No Fireplace"
test$FireplaceQu[is.na(test$FireplaceQu)] = "No Fireplace"

train$GarageType[is.na(train$GarageType)] = "No Garage"
test$GarageType[is.na(test$GarageType)] = "No Garage"

train$GarageFinish[is.na(train$GarageFinish)] = "No Garage"
test$GarageFinish[is.na(test$GarageFinish)] = "No Garage"

train$GarageQual[is.na(train$GarageQual)] = "No Garage"
test$GarageQual[is.na(test$GarageQual)] = "No Garage"

train$GarageCond[is.na(train$GarageCond)] = "No Garage"
test$GarageCond[is.na(test$GarageCond)] = "No Garage"

train$PoolQC[is.na(train$PoolQC)] = "No Pool"
test$PoolQC[is.na(test$PoolQC)] = "No Pool"

train$Fence[is.na(train$Fence)] = "No Fence"
test$Fence[is.na(test$Fence)] = "No Fence"

train$MiscFeature[is.na(train$MiscFeature)] = "None"
test$MiscFeature[is.na(test$MiscFeature)] = "None"

With the changed values, the “NA” values remaining are numerical or categorical values that are not detailed in the data description text file.

print("Train Features that have NA")
## [1] "Train Features that have NA"
for (col in 1:ncol(train)) {
  x<- colnames(train[col])
  y<- sum(is.na(train[col]))
  if (y > 0) {
    print(paste(x,y))
  }
}
## [1] "LotFrontage 259"
## [1] "MasVnrType 8"
## [1] "MasVnrArea 8"
## [1] "Electrical 1"
## [1] "GarageYrBlt 81"
print("Test Features that have NA")
## [1] "Test Features that have NA"
for (col in 1:ncol(test)) {
  x<- colnames(test[col])
  y<- sum(is.na(test[col]))
  if (y > 0) {
    print(paste(x,y))
  }
}
## [1] "MSZoning 4"
## [1] "LotFrontage 227"
## [1] "Utilities 2"
## [1] "Exterior1st 1"
## [1] "Exterior2nd 1"
## [1] "MasVnrType 16"
## [1] "MasVnrArea 15"
## [1] "BsmtFinSF1 1"
## [1] "BsmtFinSF2 1"
## [1] "BsmtUnfSF 1"
## [1] "TotalBsmtSF 1"
## [1] "BsmtFullBath 2"
## [1] "BsmtHalfBath 2"
## [1] "KitchenQual 1"
## [1] "Functional 2"
## [1] "GarageYrBlt 78"
## [1] "GarageCars 1"
## [1] "GarageArea 1"
## [1] "SaleType 1"

These following categorical variables still have NA values.

library(tidyverse)
## Warning: package 'tidyverse' was built under R version 4.0.3
## -- Attaching packages --------------------------------------------------------------------------------------------------------------------- tidyverse 1.3.0 --
## v tibble  3.0.3     v dplyr   1.0.2
## v tidyr   1.1.2     v stringr 1.4.0
## v readr   1.4.0     v forcats 0.5.0
## v purrr   0.3.4
## Warning: package 'readr' was built under R version 4.0.3
## Warning: package 'forcats' was built under R version 4.0.3
## -- Conflicts ------------------------------------------------------------------------------------------------------------------------ tidyverse_conflicts() --
## x dplyr::filter() masks stats::filter()
## x dplyr::lag()    masks stats::lag()
categoricalTestNA <- test %>% select_if(is.character)

print("Test Categorical Features")
## [1] "Test Categorical Features"
for (col in 1:ncol(categoricalTestNA)) {
  x<- colnames(categoricalTestNA[col])
  y<- sum(is.na(categoricalTestNA[col]))
  if (y > 0) {
    print(paste(x,y))
  }
}
## [1] "MSZoning 4"
## [1] "Utilities 2"
## [1] "Exterior1st 1"
## [1] "Exterior2nd 1"
## [1] "MasVnrType 16"
## [1] "KitchenQual 1"
## [1] "Functional 2"
## [1] "SaleType 1"
categoricalTrainNA <- train %>% select_if(is.character)

print("Train Categorical Features")
## [1] "Train Categorical Features"
for (col in 1:ncol(categoricalTrainNA)) {
  x<- colnames(categoricalTrainNA[col])
  y<- sum(is.na(categoricalTrainNA[col]))
  if (y > 0) {
    print(paste(x,y))
  }
}
## [1] "MasVnrType 8"
## [1] "Electrical 1"

For the following categorical features that have NA, replace with the mode value.

#mode function
Mode <- function(x) {
  ux <- unique(x)
  ux[which.max((tabulate(match(x, ux))))]
}

train$MasVnrType[is.na(train$MasVnrType)] = Mode(train$MasVnrType)
train$Electrical[is.na(train$Electrical)] = Mode(train$Electrical)

test$MSZoning[is.na(test$MSZoning)] = Mode(test$MSZoning)
test$Utilities[is.na(test$Utilities)] = Mode(test$Utilities)
test$Exterior1st[is.na(test$Exterior1st)] = Mode(test$Exterior1st)
test$Exterior2nd[is.na(test$Exterior2nd)] = Mode(test$Exterior2nd)
test$MasVnrType[is.na(test$MasVnrType)] = Mode(test$MasVnrType)
test$KitchenQual[is.na(test$KitchenQual)] = Mode(test$KitchenQual)
test$Functional[is.na(test$Functional)] = Mode(test$Functional)
test$SaleType[is.na(test$SaleType)] = Mode(test$SaleType)
#Mode(data$Neighborhood)
#Mode(data$BldgType)
#Mode(data$SaleCondition)
#Mode(data$OverallQual)
#Mode(data$OverallCond)
#Mode(data$YearBuilt)
#Mode(data$MoSold)

#mean(data$OverallQual)
#mean(data$OverallCond)
#mean(data$YearBuilt)

#median(data$OverallQual)
#median(data$OverallCond)
#median(data$YearBuilt)

#sd(data$OverallQual)
#sd(data$OverallCond)
#sd(data$LotArea)

For the numerical features, it seems plausible that a “NA” dictate that it is in fact 0. This links directly with the fact that some houses may not have a basement, alley, garage, fence, and etc.

#These are the numerical features left with NAs
numericalTestNA <- test %>% select_if(is.numeric)

print("Test Numerical Features")
## [1] "Test Numerical Features"
for (col in 1:ncol(numericalTestNA)) {
  x<- colnames(numericalTestNA[col])
  y<- sum(is.na(numericalTestNA[col]))
  if (y > 0) {
    print(paste(x,y))
  }
}
## [1] "LotFrontage 227"
## [1] "MasVnrArea 15"
## [1] "BsmtFinSF1 1"
## [1] "BsmtFinSF2 1"
## [1] "BsmtUnfSF 1"
## [1] "TotalBsmtSF 1"
## [1] "BsmtFullBath 2"
## [1] "BsmtHalfBath 2"
## [1] "GarageYrBlt 78"
## [1] "GarageCars 1"
## [1] "GarageArea 1"
numericalTrainNA <- train %>% select_if(is.numeric)

print("Train Numerical Features")
## [1] "Train Numerical Features"
for (col in 1:ncol(numericalTrainNA)) {
  x<- colnames(numericalTrainNA[col])
  y<- sum(is.na(numericalTrainNA[col]))
  if (y > 0) {
    print(paste(x,y))
  }
}
## [1] "LotFrontage 259"
## [1] "MasVnrArea 8"
## [1] "GarageYrBlt 81"

To address this issue, we will assign 0 to the features that contain “Bsmt” and “Garage”.

test$BsmtFinSF1[is.na(test$BsmtFinSF1)] = 0
test$BsmtFinSF2[is.na(test$BsmtFinSF2)] = 0
test$BsmtUnfSF[is.na(test$BsmtUnfSF)] = 0
test$TotalBsmtSF[is.na(test$TotalBsmtSF)] = 0
test$BsmtFullBath[is.na(test$BsmtFullBath)] = 0
test$BsmtHalfBath[is.na(test$BsmtHalfBath)] = 0
test$GarageCars[is.na(test$GarageCars)] = 0
test$GarageArea[is.na(test$GarageArea)] = 0

Secondly, for the GarageYrBlt and MasVnrArea, putting a 0 wouldn’t make sense. There are 78 rows that do not have a year assigned that could actually have a garage and the for MasVnrArea, there is some areas just not being report for the masonry veneer area because info was lacking. Instead of removing the rows completely (effectively removing a minimum of 78 rows and up to a maximum of 86 rows), we can assign a value of -1 that assign a non-logical value and can help identify that these are outliers.

test$GarageYrBlt[is.na(test$GarageYrBlt)] = -1
test$MasVnrArea[is.na(test$MasVnrArea)] = -1
train$MasVnrArea[is.na(train$MasVnrArea)] = -1
train$GarageYrBlt[is.na(train$GarageYrBlt)] = -1

For the case of the missing LotFrontage area, we can assume there are outliers present and so a median approach can be used for these missing values

test$LotFrontage[is.na(test$LotFrontage)] = median(test$LotFrontage, na.rm = TRUE)
train$LotFrontage[is.na(train$LotFrontage)] = median(train$LotFrontage, na.rm = TRUE)

For the purposes of forming a linear regression model, the categorical attributes most be assigned a number value instead of a character value.

#testdata <- test
#testdata
#unclass(testdata)
#testdata2 <- as.numeric(factor(testdata))
#testdata2

#Perform all the changes on a second duplicate data frame
modifiedTest <- test
modifiedTrain <- train

#Modifying the values to the number values; they are assigned alphabetically
modifiedTest$MSZoning <- as.numeric(factor(modifiedTest$MSZoning))
modifiedTest$Street <- as.numeric(factor(modifiedTest$Street))
modifiedTest$Alley <- as.numeric(factor(modifiedTest$Alley))
modifiedTest$LotShape <- as.numeric(factor(modifiedTest$LotShape))
modifiedTest$LandContour <- as.numeric(factor(modifiedTest$LandContour))
modifiedTest$Utilities <- as.numeric(factor(modifiedTest$Utilities))
modifiedTest$LotConfig <- as.numeric(factor(modifiedTest$LotConfig))
modifiedTest$LandSlope <- as.numeric(factor(modifiedTest$LandSlope))
modifiedTest$Neighborhood <- as.numeric(factor(modifiedTest$Neighborhood))
modifiedTest$Condition1 <- as.numeric(factor(modifiedTest$Condition1))
modifiedTest$Condition2 <- as.numeric(factor(modifiedTest$Condition2))
modifiedTest$BldgType <- as.numeric(factor(modifiedTest$BldgType))
modifiedTest$HouseStyle <- as.numeric(factor(modifiedTest$HouseStyle))
modifiedTest$RoofStyle <- as.numeric(factor(modifiedTest$RoofStyle))
modifiedTest$RoofMatl <- as.numeric(factor(modifiedTest$RoofMatl))
modifiedTest$Exterior1st <- as.numeric(factor(modifiedTest$Exterior1st))
modifiedTest$Exterior2nd <- as.numeric(factor(modifiedTest$Exterior2nd))
modifiedTest$MasVnrType <- as.numeric(factor(modifiedTest$MasVnrType))
modifiedTest$ExterQual <- as.numeric(factor(modifiedTest$ExterQual))
modifiedTest$ExterCond <- as.numeric(factor(modifiedTest$ExterCond))
modifiedTest$Foundation <- as.numeric(factor(modifiedTest$Foundation))
modifiedTest$BsmtQual <- as.numeric(factor(modifiedTest$BsmtQual))
modifiedTest$BsmtCond <- as.numeric(factor(modifiedTest$BsmtCond))
modifiedTest$BsmtExposure <- as.numeric(factor(modifiedTest$BsmtExposure))
modifiedTest$BsmtFinType1 <- as.numeric(factor(modifiedTest$BsmtFinType1))
modifiedTest$BsmtFinType2 <- as.numeric(factor(modifiedTest$BsmtFinType2))
modifiedTest$Heating <- as.numeric(factor(modifiedTest$Heating))
modifiedTest$HeatingQC <- as.numeric(factor(modifiedTest$HeatingQC))
modifiedTest$CentralAir <- as.numeric(factor(modifiedTest$CentralAir))
modifiedTest$Electrical <- as.numeric(factor(modifiedTest$Electrical))
modifiedTest$KitchenQual <- as.numeric(factor(modifiedTest$KitchenQual))
modifiedTest$Functional <- as.numeric(factor(modifiedTest$Functional))
modifiedTest$FireplaceQu <- as.numeric(factor(modifiedTest$FireplaceQu))
modifiedTest$GarageType <- as.numeric(factor(modifiedTest$GarageType))
modifiedTest$GarageFinish <- as.numeric(factor(modifiedTest$GarageFinish))
modifiedTest$GarageQual <- as.numeric(factor(modifiedTest$GarageQual))
modifiedTest$GarageCond <- as.numeric(factor(modifiedTest$GarageCond))
modifiedTest$PavedDrive <- as.numeric(factor(modifiedTest$PavedDrive))
modifiedTest$PoolQC <- as.numeric(factor(modifiedTest$PoolQC))
modifiedTest$Fence <- as.numeric(factor(modifiedTest$Fence))
modifiedTest$MiscFeature <- as.numeric(factor(modifiedTest$MiscFeature))
modifiedTest$SaleType <- as.numeric(factor(modifiedTest$SaleType))
modifiedTest$SaleCondition <- as.numeric(factor(modifiedTest$SaleCondition))

modifiedTrain$MSZoning <- as.numeric(factor(modifiedTrain$MSZoning))
modifiedTrain$Street <- as.numeric(factor(modifiedTrain$Street))
modifiedTrain$Alley <- as.numeric(factor(modifiedTrain$Alley))
modifiedTrain$LotShape <- as.numeric(factor(modifiedTrain$LotShape))
modifiedTrain$LandContour <- as.numeric(factor(modifiedTrain$LandContour))
modifiedTrain$Utilities <- as.numeric(factor(modifiedTrain$Utilities))
modifiedTrain$LotConfig <- as.numeric(factor(modifiedTrain$LotConfig))
modifiedTrain$LandSlope <- as.numeric(factor(modifiedTrain$LandSlope))
modifiedTrain$Neighborhood <- as.numeric(factor(modifiedTrain$Neighborhood))
modifiedTrain$Condition1 <- as.numeric(factor(modifiedTrain$Condition1))
modifiedTrain$Condition2 <- as.numeric(factor(modifiedTrain$Condition2))
modifiedTrain$BldgType <- as.numeric(factor(modifiedTrain$BldgType))
modifiedTrain$HouseStyle <- as.numeric(factor(modifiedTrain$HouseStyle))
modifiedTrain$RoofStyle <- as.numeric(factor(modifiedTrain$RoofStyle))
modifiedTrain$RoofMatl <- as.numeric(factor(modifiedTrain$RoofMatl))
modifiedTrain$Exterior1st <- as.numeric(factor(modifiedTrain$Exterior1st))
modifiedTrain$Exterior2nd <- as.numeric(factor(modifiedTrain$Exterior2nd))
modifiedTrain$MasVnrType <- as.numeric(factor(modifiedTrain$MasVnrType))
modifiedTrain$ExterQual <- as.numeric(factor(modifiedTrain$ExterQual))
modifiedTrain$ExterCond <- as.numeric(factor(modifiedTrain$ExterCond))
modifiedTrain$Foundation <- as.numeric(factor(modifiedTrain$Foundation))
modifiedTrain$BsmtQual <- as.numeric(factor(modifiedTrain$BsmtQual))
modifiedTrain$BsmtCond <- as.numeric(factor(modifiedTrain$BsmtCond))
modifiedTrain$BsmtExposure <- as.numeric(factor(modifiedTrain$BsmtExposure))
modifiedTrain$BsmtFinType1 <- as.numeric(factor(modifiedTrain$BsmtFinType1))
modifiedTrain$BsmtFinType2 <- as.numeric(factor(modifiedTrain$BsmtFinType2))
modifiedTrain$Heating <- as.numeric(factor(modifiedTrain$Heating))
modifiedTrain$HeatingQC <- as.numeric(factor(modifiedTrain$HeatingQC))
modifiedTrain$CentralAir <- as.numeric(factor(modifiedTrain$CentralAir))
modifiedTrain$Electrical <- as.numeric(factor(modifiedTrain$Electrical))
modifiedTrain$KitchenQual <- as.numeric(factor(modifiedTrain$KitchenQual))
modifiedTrain$Functional <- as.numeric(factor(modifiedTrain$Functional))
modifiedTrain$FireplaceQu <- as.numeric(factor(modifiedTrain$FireplaceQu))
modifiedTrain$GarageType <- as.numeric(factor(modifiedTrain$GarageType))
modifiedTrain$GarageFinish <- as.numeric(factor(modifiedTrain$GarageFinish))
modifiedTrain$GarageQual <- as.numeric(factor(modifiedTrain$GarageQual))
modifiedTrain$GarageCond <- as.numeric(factor(modifiedTrain$GarageCond))
modifiedTrain$PavedDrive <- as.numeric(factor(modifiedTrain$PavedDrive))
modifiedTrain$PoolQC <- as.numeric(factor(modifiedTrain$PoolQC))
modifiedTrain$Fence <- as.numeric(factor(modifiedTrain$Fence))
modifiedTrain$MiscFeature <- as.numeric(factor(modifiedTrain$MiscFeature))
modifiedTrain$SaleType <- as.numeric(factor(modifiedTrain$SaleType))
modifiedTrain$SaleCondition <- as.numeric(factor(modifiedTrain$SaleCondition))


#testdata[92]
#testdata2[92]

#testdata[4]
#testdata2[4]
#data.matrix(mydf)
#b[] <- data.matrix(mydf)
#mydf
#str(mydf)

#unclass(mydf2)
#DataFrame[] <- lapply(mydf, as.integer)
#corrplot?
#library(corrplot)
#corrplot(data)

Dummy

print("Train dataset that have NA values")
## [1] "Train dataset that have NA values"
for (col in 1:ncol(modifiedTrain)) {
  x<- colnames(modifiedTrain[col])
  y<- sum(is.na(modifiedTrain[col]))
  if (y > 0) {
    print(paste(x,y))
  }
}

print("Test data that have NA values")
## [1] "Test data that have NA values"
for (col in 1:ncol(modifiedTest)) {
  x<- colnames(modifiedTest[col])
  y<- sum(is.na(modifiedTest[col]))
  if (y > 0) {
    print(paste(x,y))
  }
}

Normalize the data.

normalize <- function(x) {
  return ((x-min(x)) / (max(x)-min(x)))
}

#is.na(modifiedTest$Utilities)
#sum(modifiedTest$Utilities)
#MasVnrTypeNorm <- as.data.frame(lapply(test$MasVnrArea, normalize))

#Utilities was excluded as it can't be normalized since it's one-sided results in test
testNorm <- apply(modifiedTest[, c(2:9, 11:80)],2,function(x) (x-min(x)/(max(x)-min(x))))
trainNorm <- apply(modifiedTrain[, 2:81],2,function(x) (x-min(x)/(max(x)-min(x))))

Corrplot to see what is plotted in relevance

#is.na.data.frame(modifiedTest)
library(corrplot)
## Warning: package 'corrplot' was built under R version 4.0.3
## corrplot 0.84 loaded
cor(testNorm)
##                 MSSubClass     MSZoning  LotFrontage      LotArea       Street
## MSSubClass     1.000000000  0.019642220 -0.424607038 -0.359536947  0.028639699
## MSZoning       0.019642220  1.000000000 -0.105558154 -0.041162821  0.127835403
## LotFrontage   -0.424607038 -0.105558154  1.000000000  0.533728323 -0.058332994
## LotArea       -0.359536947 -0.041162821  0.533728323  1.000000000 -0.029290563
## Street         0.028639699  0.127835403 -0.058332994 -0.029290563  1.000000000
## Alley          0.068260651 -0.386789676 -0.015805703 -0.031883413 -0.005385888
## LotShape       0.058391900  0.127846631 -0.113356554 -0.245366933 -0.024937969
## LandContour   -0.005940398 -0.046166350 -0.009744671 -0.081782757  0.071176653
## LotConfig      0.070156763  0.046413033 -0.166074465 -0.126145809 -0.009761312
## LandSlope     -0.025956927  0.061009993  0.026196204  0.094971696  0.013365625
## Neighborhood   0.006071219 -0.257927931  0.120520374  0.043285392  0.040914740
## Condition1    -0.034127611 -0.029552413 -0.033508556  0.054116906 -0.057284531
## Condition2    -0.010712300 -0.047837791  0.016745399  0.007457669 -0.001843675
## BldgType       0.737048319 -0.056300301 -0.467595691 -0.404653531  0.027415030
## HouseStyle     0.341259712 -0.079233476  0.008501178 -0.009624849  0.027749542
## OverallQual    0.034690318 -0.180130409  0.171885841  0.107989304  0.085548979
## OverallCond   -0.071768182  0.178650480 -0.083418476 -0.103401573 -0.006514160
## YearBuilt      0.040847977 -0.314849236  0.114234058  0.048313577  0.102993469
## YearRemodAdd   0.046319069 -0.207395759  0.087094040  0.036907293  0.095309320
## RoofStyle     -0.149530066 -0.027248158  0.188646662  0.154337105  0.003914650
## RoofMatl      -0.021225436 -0.010215953  0.086097469  0.110070824  0.006392644
## Exterior1st   -0.131734240 -0.090241013  0.077617534  0.036705625 -0.004204085
## Exterior2nd   -0.153878218 -0.088011555  0.127415945  0.073221090 -0.012646906
## MasVnrType     0.018340497  0.016642992 -0.070062743 -0.053176560  0.011323208
## MasVnrArea    -0.011023145 -0.044231114  0.223835007  0.187437116  0.027841217
## ExterQual     -0.015353722  0.198530027 -0.158505398 -0.098632818  0.032110395
## ExterCond      0.001212284 -0.083497649 -0.012175534 -0.041911016  0.080455787
## Foundation     0.051004680 -0.296240860  0.114105036  0.070872209 -0.009661367
## BsmtQual      -0.058476958  0.188313881 -0.125861928 -0.102067702 -0.007742082
## BsmtCond       0.017332266 -0.054592205 -0.033315200 -0.022640948  0.084798513
## BsmtExposure  -0.085422647  0.041958502 -0.135601136 -0.097679298 -0.008779919
## BsmtFinType1  -0.018721771  0.053592070 -0.023612803 -0.033720752 -0.046855955
## BsmtFinSF1    -0.058162205 -0.061367574  0.187454482  0.185890284  0.049029753
## BsmtFinType2   0.064948947  0.015701077 -0.032065054 -0.045301969 -0.007377840
## BsmtFinSF2    -0.078891292 -0.003454989  0.039750957  0.054345593  0.019129608
## BsmtUnfSF     -0.110230066 -0.065954065  0.085821943  0.072307057  0.005866749
## TotalBsmtSF   -0.199795792 -0.129383506  0.292832113  0.283715620  0.063723171
## Heating        0.042589987  0.003196664  0.032320066  0.041453006  0.005422197
## HeatingQC      0.014829895  0.182271195 -0.093421808 -0.040513644 -0.017334488
## CentralAir    -0.057803499  0.002763814  0.054073949  0.062355183  0.066860378
## Electrical     0.041343125 -0.119774990  0.043343850  0.027082857  0.022654249
## X1stFlrSF     -0.245603134 -0.116661350  0.433650682  0.456417361  0.061166776
## X2ndFlrSF      0.311430246  0.019497116 -0.033562246 -0.007861522  0.029644319
## LowQualFinSF   0.005021497  0.035835500 -0.035203944 -0.012456886  0.005171870
## GrLivArea      0.068829221 -0.075523320  0.323329325  0.366323997  0.076304770
## BsmtFullBath   0.017072692 -0.067901165  0.112144879  0.088378572  0.032374847
## BsmtHalfBath  -0.001331792  0.053502993 -0.040014422 -0.009403597  0.016589429
## FullBath       0.146489075 -0.188341634  0.145247330  0.147871222  0.066105845
## HalfBath       0.180205605 -0.097150259  0.019270515  0.079581167  0.026963091
## BedroomAbvGr   0.005541493  0.044347166  0.185179500  0.181171409  0.053247329
## KitchenAbvGr   0.238016318  0.030511934  0.014437274 -0.031830288  0.013103311
## KitchenQual    0.042186392  0.152058161 -0.190057110 -0.136437443 -0.023934872
## TotRmsAbvGrd   0.041294116  0.009954503  0.317801380  0.289576040  0.059012475
## Functional     0.016095916 -0.019230160 -0.075958532 -0.202615129  0.067763394
## Fireplaces    -0.064356992 -0.062994771  0.230034304  0.282210204  0.041160981
## FireplaceQu    0.061578852 -0.004615419 -0.067385824 -0.030554342 -0.015912252
## GarageType     0.149179369  0.179609638 -0.285324911 -0.236535673 -0.067111581
## GarageYrBlt   -0.129583090 -0.024393128  0.099589172  0.088599923  0.037175665
## GarageFinish  -0.052560805  0.140490670 -0.142595530 -0.064545788 -0.033275789
## GarageCars    -0.053153642 -0.132713805  0.312812288  0.263168284  0.049489782
## GarageArea    -0.108261766 -0.146416575  0.353851866  0.315554649  0.053668913
## GarageQual    -0.019357821 -0.118345021  0.104761188  0.069696474  0.042662484
## GarageCond    -0.068805273 -0.072193613  0.096350060  0.046773087  0.061232423
## PavedDrive     0.002247977 -0.079307299  0.030951252 -0.017279408  0.183450604
## WoodDeckSF    -0.022538732 -0.022380424  0.134720170  0.158482918  0.036906057
## OpenPorchSF   -0.025420547 -0.193811462  0.168626112  0.164815306  0.019890264
## EnclosedPorch -0.029051376  0.112485013  0.012664833  0.099850428 -0.097139095
## X3SsnPorch    -0.029708537 -0.001190108 -0.033860719 -0.001845858  0.005708028
## ScreenPorch   -0.071978209  0.007325098  0.104116925  0.088711575  0.019377248
## PoolArea      -0.017789965 -0.002237478  0.134824076  0.140493798  0.003677421
## PoolQC         0.025938367  0.001707628 -0.046868432 -0.047189625 -0.002806582
## Fence          0.087086637 -0.109234040  0.013838383  0.010517898 -0.010760742
## MiscFeature   -0.024046520  0.001605042  0.026477005  0.062351633  0.011306981
## MiscVal       -0.045834848  0.005614347  0.067922541  0.139071122  0.005927598
## MoSold         0.011365771 -0.040912421  0.008685841  0.005151942  0.030007385
## YrSold        -0.008392331 -0.026207978 -0.023505073 -0.051144345 -0.011372381
## SaleType       0.042333587  0.010201991 -0.034109427 -0.010517923  0.018679966
## SaleCondition -0.016307600 -0.053888615  0.002391205 -0.006838481  0.027663015
##                      Alley      LotShape   LandContour     LotConfig
## MSSubClass     0.068260651  0.0583918996 -0.0059403983  0.0701567626
## MSZoning      -0.386789676  0.1278466308 -0.0461663497  0.0464130331
## LotFrontage   -0.015805703 -0.1133565536 -0.0097446708 -0.1660744654
## LotArea       -0.031883413 -0.2453669325 -0.0817827567 -0.1261458093
## Street        -0.005385888 -0.0249379692  0.0711766525 -0.0097613116
## Alley          1.000000000 -0.1234736096  0.0276276185 -0.0223443776
## LotShape      -0.123473610  1.0000000000  0.1016122016  0.1589266227
## LandContour    0.027627618  0.1016122016  1.0000000000  0.0031848875
## LotConfig     -0.022344378  0.1589266227  0.0031848875  1.0000000000
## LandSlope     -0.017600633 -0.0734709372 -0.3697208363  0.0375583509
## Neighborhood   0.020430846 -0.0457715153  0.0442756861 -0.0742259298
## Condition1     0.045134150 -0.1108537472  0.0278877391  0.0817757072
## Condition2    -0.002404674  0.0024285667  0.0249583087  0.0439045084
## BldgType       0.180044548  0.0311129600 -0.0089173905  0.1060990720
## HouseStyle     0.099719698 -0.1691757902  0.0662502449 -0.0178983643
## OverallQual    0.167280666 -0.3250255456 -0.0771188134 -0.0414326197
## OverallCond   -0.115713295  0.1253752651 -0.0197214094 -0.0103933302
## YearBuilt      0.342752858 -0.3356550486  0.0944678900  0.0201908071
## YearRemodAdd   0.157375616 -0.2274884968  0.0340660727  0.0164469293
## RoofStyle      0.017705176 -0.0389435849 -0.0561593847 -0.0057005754
## RoofMatl       0.024365311 -0.0457353758 -0.0361569370 -0.0030781213
## Exterior1st   -0.009148546 -0.0303487320  0.0714564653 -0.0112452012
## Exterior2nd   -0.007575047 -0.0278587092  0.0570327871 -0.0132227481
## MasVnrType    -0.040590471  0.0548013167 -0.1022904031  0.0150872260
## MasVnrArea     0.085430449 -0.1458302204 -0.0286614005 -0.0290832956
## ExterQual     -0.124391924  0.1956869567  0.0482255282  0.0009650159
## ExterCond      0.095560154 -0.0872057070 -0.0012105254  0.0743093908
## Foundation     0.176577905 -0.2019864246  0.0683254660 -0.0175199624
## BsmtQual      -0.154186103  0.2633545424  0.0529224079  0.0572419519
## BsmtCond       0.065035144 -0.0826625564  0.0645823022  0.0207990224
## BsmtExposure  -0.030451521  0.2099288980  0.0803531897  0.0157756591
## BsmtFinType1  -0.116644747  0.1084312018 -0.0112895091 -0.0103590051
## BsmtFinSF1     0.085311763 -0.1862884086 -0.0540394766 -0.0319351866
## BsmtFinType2  -0.024772124 -0.0002265093  0.0416447162  0.0144381916
## BsmtFinSF2     0.011995307 -0.0438516626 -0.0264320769 -0.0065739431
## BsmtUnfSF     -0.017961021 -0.0112929379  0.0241344413 -0.0021484710
## TotalBsmtSF    0.074624865 -0.2197885024 -0.0421943997 -0.0375117858
## Heating       -0.009384319  0.0343199520 -0.0301172570 -0.0021236357
## HeatingQC     -0.072079557  0.1518842583 -0.0081229257  0.0088098039
## CentralAir     0.137233061 -0.1316826356  0.0632867619  0.0227312693
## Electrical     0.136626180 -0.1543058049  0.0210446265  0.0301818396
## X1stFlrSF      0.075720468 -0.2202663744 -0.1014297276 -0.0741369415
## X2ndFlrSF     -0.031579875 -0.0491436122 -0.0045722316  0.0100302866
## LowQualFinSF  -0.088782354  0.0428131323 -0.0718928849  0.0166119058
## GrLivArea      0.026682712 -0.2193052977 -0.0936543438 -0.0505972569
## BsmtFullBath   0.097299056 -0.0962803020 -0.0415895492 -0.0029111841
## BsmtHalfBath  -0.008572098 -0.0395157240 -0.0068726823  0.0175017177
## FullBath       0.113678076 -0.2308366002  0.0301669215 -0.0304419130
## HalfBath       0.123557882 -0.1381557332  0.0313317089 -0.0103038139
## BedroomAbvGr  -0.051493006 -0.0205495345  0.0417289136 -0.0183948032
## KitchenAbvGr  -0.056032516  0.0884611507  0.0133849818 -0.0119019467
## KitchenQual   -0.073623598  0.1799416788  0.0798860991  0.0155528077
## TotRmsAbvGrd  -0.049316068 -0.1309513648 -0.0657363345 -0.0389833605
## Functional     0.001208695 -0.0546068741  0.0595700946 -0.0214097650
## Fireplaces     0.051723391 -0.1899098379 -0.1140781230 -0.0277004623
## FireplaceQu    0.017730022 -0.0083038841  0.0671805707  0.0495220162
## GarageType    -0.177562923  0.2998526407 -0.0070427007  0.0411574970
## GarageYrBlt    0.116748093 -0.1574332529 -0.0202529815 -0.0400724163
## GarageFinish  -0.082133982  0.2532655743 -0.0038548821  0.0585598184
## GarageCars     0.118497377 -0.2823122407  0.0168136744 -0.1047867893
## GarageArea     0.112143950 -0.2533796966  0.0107457546 -0.0868095629
## GarageQual     0.159951666 -0.1656519600  0.0441323697 -0.0461135453
## GarageCond     0.146247941 -0.1470961807 -0.0272758140 -0.0077248684
## PavedDrive     0.219360300 -0.1934108916 -0.0178098804  0.0137677660
## WoodDeckSF     0.011550701 -0.1811265574 -0.0248038016  0.0395533834
## OpenPorchSF    0.140650984 -0.0988911780 -0.0234346292 -0.0699613914
## EnclosedPorch -0.184462005  0.0916537042 -0.0393878380 -0.0107107716
## X3SsnPorch     0.035607789 -0.0069334261 -0.0136487381  0.0359519013
## ScreenPorch   -0.038232560 -0.0208654395 -0.0643154060 -0.0155836564
## PoolArea       0.004796395 -0.0066750150 -0.0312817028 -0.0223333047
## PoolQC        -0.003660576  0.0233109357  0.0982121804  0.0301001903
## Fence          0.029847824 -0.0635124742  0.0109368107  0.0243216623
## MiscFeature    0.007582463  0.0072716762  0.0091924560  0.0104651007
## MiscVal       -0.014018108 -0.0611714690 -0.0727825805 -0.0229935157
## MoSold        -0.026655169  0.0466432958  0.0100447764  0.0009429756
## YrSold         0.006636499  0.0231967483 -0.0008084139 -0.0046217277
## SaleType       0.014997152 -0.0240085705 -0.0299405328 -0.0265345805
## SaleCondition  0.077003276 -0.1145426952  0.0423755138  0.0166719663
##                   LandSlope Neighborhood   Condition1    Condition2
## MSSubClass    -0.0259569274  0.006071219 -0.034127611 -0.0107122995
## MSZoning       0.0610099934 -0.257927931 -0.029552413 -0.0478377913
## LotFrontage    0.0261962035  0.120520374 -0.033508556  0.0167453986
## LotArea        0.0949716961  0.043285392  0.054116906  0.0074576689
## Street         0.0133656249  0.040914740 -0.057284531 -0.0018436754
## Alley         -0.0176006326  0.020430846  0.045134150 -0.0024046735
## LotShape      -0.0734709372 -0.045771515 -0.110853747  0.0024285667
## LandContour   -0.3697208363  0.044275686  0.027887739  0.0249583087
## LotConfig      0.0375583509 -0.074225930  0.081775707  0.0439045084
## LandSlope      1.0000000000 -0.112682766 -0.008087719 -0.0160186599
## Neighborhood  -0.1126827656  1.000000000  0.005238299  0.0989990949
## Condition1    -0.0080877188  0.005238299  1.000000000 -0.1071346190
## Condition2    -0.0160186599  0.098999095 -0.107134619  1.0000000000
## BldgType       0.0435936359  0.024700398 -0.030355923  0.0319253719
## HouseStyle    -0.0536009094  0.037740744  0.049527190  0.0382497777
## OverallQual    0.0280793538  0.187333418  0.105983536  0.1047795613
## OverallCond    0.0097623209 -0.043618275 -0.019511674 -0.0587424507
## YearBuilt     -0.0015159049  0.079701032  0.167909216  0.0667611238
## YearRemodAdd  -0.0275620712  0.107089088  0.103760030  0.0651909838
## RoofStyle      0.0811292256  0.082819443  0.029444038  0.0966330204
## RoofMatl       0.1781781523 -0.019048576  0.004254035  0.0028541670
## Exterior1st   -0.0461639825 -0.023547937  0.020059410  0.0119243179
## Exterior2nd   -0.0315110940 -0.051498114  0.029954780 -0.0025930596
## MasVnrType     0.0795940850 -0.019272443 -0.038635088 -0.0109793339
## MasVnrArea     0.0706196835  0.108410835  0.026912021  0.0586412514
## ExterQual     -0.0462534947 -0.193817353 -0.062053602 -0.1607012619
## ExterCond     -0.0005661939  0.025332640  0.091834977  0.0123825989
## Foundation     0.0097358506  0.094952171  0.105364447  0.0479689320
## BsmtQual      -0.0565341840 -0.173881640 -0.095317452 -0.0872076539
## BsmtCond       0.0050829020 -0.019533918  0.010622083  0.0283284559
## BsmtExposure  -0.1379954486 -0.011044287  0.013154034 -0.0754641714
## BsmtFinType1  -0.0586026150 -0.019350171 -0.012839687 -0.0597225166
## BsmtFinSF1     0.1204840384  0.066151056  0.013859063  0.0905439838
## BsmtFinType2  -0.0701066034 -0.011526722 -0.029584428  0.0109670807
## BsmtFinSF2     0.0843075041  0.022988781  0.029106779 -0.0023958022
## BsmtUnfSF     -0.0982348371  0.107007848  0.011273280 -0.0048070378
## TotalBsmtSF    0.0603821643  0.182549893  0.036932393  0.0872310786
## Heating        0.0845454502  0.002058241 -0.004734747  0.0024208849
## HeatingQC     -0.0143032339 -0.078620629 -0.064336062 -0.0406123743
## CentralAir    -0.0301823557  0.003118107  0.119692114 -0.0078244254
## Electrical     0.0002605848  0.032134450  0.109625836 -0.0084947294
## X1stFlrSF      0.0767340436  0.169505955  0.020362425  0.0929041216
## X2ndFlrSF     -0.0725956140  0.010285571  0.018497020 -0.0284791683
## LowQualFinSF  -0.0167398368 -0.003984938 -0.023810403  0.0023091195
## GrLivArea     -0.0014804599  0.147543629  0.030560144  0.0517217275
## BsmtFullBath   0.0972452096  0.074213062  0.011406593  0.0595364565
## BsmtHalfBath   0.0712509816 -0.005527333 -0.026845966  0.0074067940
## FullBath      -0.0833670247  0.143077333  0.077081700  0.0639780907
## HalfBath      -0.0120660595  0.001475815  0.060148972 -0.0069805731
## BedroomAbvGr  -0.1343548102  0.029435595  0.004238536 -0.0223434000
## KitchenAbvGr  -0.0424116026  0.047816380 -0.041359399 -0.0170948969
## KitchenQual   -0.0465558007 -0.184395875 -0.057173872 -0.1304447738
## TotRmsAbvGrd  -0.0740076345  0.088723246  0.048705338  0.0295178511
## Functional    -0.0420099840  0.034855158  0.046949436 -0.0074133982
## Fireplaces     0.1199765881  0.012583121  0.038717241  0.0922618401
## FireplaceQu    0.0121789046 -0.055377588  0.011116242 -0.0241527947
## GarageType    -0.0616462805 -0.052935510 -0.088602286 -0.0745048960
## GarageYrBlt    0.0471531238 -0.006979787  0.058750485  0.0409007313
## GarageFinish  -0.0040026895 -0.039248099 -0.098790856 -0.0661007588
## GarageCars     0.0061507636  0.134925799  0.086209758  0.0959660765
## GarageArea     0.0199691132  0.148766237  0.069905535  0.0898387234
## GarageQual    -0.0023475189  0.039766907  0.068916704  0.0477869476
## GarageCond     0.0293031610  0.003722372  0.084271151  0.0154357233
## PavedDrive     0.0266116495  0.011548461  0.097777190  0.0069316418
## WoodDeckSF     0.0808562110  0.004978897  0.026934694  0.0385703446
## OpenPorchSF    0.0105846944  0.167101617  0.008062861  0.0250606274
## EnclosedPorch  0.0411687881  0.014114898 -0.077633894  0.0103498464
## X3SsnPorch     0.0292615293  0.016236701 -0.018564453  0.0025485018
## ScreenPorch    0.0751087968 -0.008285101  0.007841104  0.0324800096
## PoolArea       0.0029851452  0.038982244 -0.043250950  0.0016418828
## PoolQC        -0.0712412788 -0.005386388  0.002450751 -0.0012530736
## Fence          0.0147689019  0.057283160  0.054754319 -0.0221980933
## MiscFeature   -0.0454877850  0.007498117 -0.023065133 -0.0219314601
## MiscVal       -0.0041933373 -0.017220509 -0.009359601 -0.0003866774
## MoSold        -0.0403850223  0.002336489  0.016465834  0.0344821090
## YrSold         0.0343873473  0.029713814 -0.048163036  0.0243196292
## SaleType       0.0402652562  0.009966029 -0.046970161  0.0024617604
## SaleCondition -0.0297993044  0.036673219  0.034937578  0.0758014277
##                    BldgType    HouseStyle  OverallQual  OverallCond
## MSSubClass     0.7370483191  0.3412597122  0.034690318 -0.071768182
## MSZoning      -0.0563003015 -0.0792334764 -0.180130409  0.178650480
## LotFrontage   -0.4675956912  0.0085011776  0.171885841 -0.083418476
## LotArea       -0.4046535308 -0.0096248494  0.107989304 -0.103401573
## Street         0.0274150300  0.0277495419  0.085548979 -0.006514160
## Alley          0.1800445476  0.0997196977  0.167280666 -0.115713295
## LotShape       0.0311129600 -0.1691757902 -0.325025546  0.125375265
## LandContour   -0.0089173905  0.0662502449 -0.077118813 -0.019721409
## LotConfig      0.1060990720 -0.0178983643 -0.041432620 -0.010393330
## LandSlope      0.0435936359 -0.0536009094  0.028079354  0.009762321
## Neighborhood   0.0247003984  0.0377407439  0.187333418 -0.043618275
## Condition1    -0.0303559231  0.0495271905  0.105983536 -0.019511674
## Condition2     0.0319253719  0.0382497777  0.104779561 -0.058742451
## BldgType       1.0000000000  0.0637353063  0.109385542 -0.134153984
## HouseStyle     0.0637353063  1.0000000000  0.196306353 -0.059571621
## OverallQual    0.1093855420  0.1963063528  1.000000000 -0.095873947
## OverallCond   -0.1341539843 -0.0595716209 -0.095873947  1.000000000
## YearBuilt      0.2183464522  0.3141600106  0.621910300 -0.361026759
## YearRemodAdd   0.1165314678  0.2337891050  0.591266671  0.021667763
## RoofStyle     -0.0189907672 -0.0422044880  0.231408066 -0.066440098
## RoofMatl      -0.0210739551  0.0067476120  0.027665471 -0.002865049
## Exterior1st   -0.1419446707 -0.0145420149  0.176243090  0.049549033
## Exterior2nd   -0.1965732441 -0.0199976908  0.150463205  0.028445770
## MasVnrType     0.0071420002 -0.1369461156 -0.092612541  0.026234627
## MasVnrArea     0.0594128434  0.0838358712  0.445712120 -0.140893384
## ExterQual     -0.1130745025 -0.0672692421 -0.630840453  0.205893453
## ExterCond      0.0846390248  0.0652799479  0.197517745 -0.216447697
## Foundation     0.1389539824  0.2333682133  0.418800120 -0.234837956
## BsmtQual      -0.1338139699 -0.1958968727 -0.579465809  0.275417680
## BsmtCond       0.0602292338  0.0768441317  0.152870053  0.061912477
## BsmtExposure  -0.0519685041 -0.2187007920 -0.332895821  0.089092917
## BsmtFinType1  -0.0842632913 -0.0599939871 -0.107740468 -0.093651136
## BsmtFinSF1     0.0453035512  0.0073798898  0.323205980 -0.055530248
## BsmtFinType2   0.0287853864  0.0156087694  0.099636786 -0.061159672
## BsmtFinSF2    -0.0341583520  0.0138509132 -0.027882670  0.042817952
## BsmtUnfSF     -0.0169175509 -0.1584209198  0.244018828 -0.140897508
## TotalBsmtSF    0.0162088128 -0.1431005835  0.561183254 -0.178849489
## Heating        0.0115357006 -0.0004115342 -0.106663746 -0.033993797
## HeatingQC     -0.0219907394 -0.1157706455 -0.463878168  0.056591667
## CentralAir     0.0296445440  0.1360203691  0.300713137  0.121102402
## Electrical     0.0875158161  0.1663236184  0.249622839 -0.006055999
## X1stFlrSF     -0.0214200659 -0.1316481850  0.481842157 -0.170451155
## X2ndFlrSF     -0.0592812141  0.3885117319  0.195868733 -0.019316196
## LowQualFinSF  -0.0244924569 -0.1107147803 -0.068135359 -0.009580223
## GrLivArea     -0.0711370718  0.2185448315  0.558598649 -0.157371690
## BsmtFullBath   0.1000243791  0.0372556457  0.216042119 -0.030827987
## BsmtHalfBath  -0.0005045277  0.0758963572 -0.040654644  0.052205113
## FullBath       0.1223911819  0.2203022264  0.507580330 -0.236617149
## HalfBath       0.0039190383  0.3907101714  0.271950789 -0.116484173
## BedroomAbvGr  -0.2126855813  0.1502909065  0.045900536 -0.029715488
## KitchenAbvGr   0.2189950297  0.0075476536 -0.134838635 -0.086658344
## KitchenQual   -0.0524208448 -0.0338488922 -0.576358303  0.089338241
## TotRmsAbvGrd  -0.1504750352  0.1962847392  0.352016337 -0.130290956
## Functional     0.0664168399  0.0646532754  0.193003026  0.059249649
## Fireplaces    -0.0640024248  0.1061718386  0.384998974 -0.038643283
## FireplaceQu    0.0276787112  0.1025254417 -0.098414672 -0.019675659
## GarageType    -0.0176000604 -0.1513123459 -0.408540969  0.176704472
## GarageYrBlt   -0.0528372917  0.0479898048  0.268124685  0.037649468
## GarageFinish  -0.0940169812 -0.2049330834 -0.419435728  0.214441116
## GarageCars    -0.0031020840  0.1980937668  0.600821031 -0.178351368
## GarageArea    -0.0493614892  0.1302798281  0.568249088 -0.157104090
## GarageQual     0.0576215496  0.1472586500  0.295775467 -0.037325151
## GarageCond    -0.0096844015  0.1052260394  0.301690267  0.100681393
## PavedDrive     0.0915857936  0.1746914299  0.356962947 -0.008279251
## WoodDeckSF    -0.0517786586  0.1614014183  0.270790126  0.043057947
## OpenPorchSF   -0.0234900059  0.1206688142  0.288367183 -0.103782921
## EnclosedPorch -0.1067254734 -0.1355701637 -0.161339298  0.072177737
## X3SsnPorch     0.0063538503 -0.0423030986  0.002802703  0.071284534
## ScreenPorch   -0.0432455847 -0.0093997035  0.022333982  0.033146046
## PoolArea      -0.0244144200  0.0104318214 -0.012330121 -0.037190620
## PoolQC         0.0186329161 -0.0047595876 -0.076663321  0.029570493
## Fence          0.1289161701  0.0237171972  0.185081839 -0.187472444
## MiscFeature   -0.0495951914  0.0573429770 -0.066196610  0.046203192
## MiscVal       -0.0333718247 -0.0014023056  0.033783623  0.007236297
## MoSold         0.0265911296  0.0325014334 -0.008763728 -0.009767116
## YrSold         0.0147890018 -0.0200693653 -0.012290567  0.015648602
## SaleType       0.0299927440  0.0926254427  0.035084330  0.132392270
## SaleCondition  0.0383124007  0.0777411767  0.247595535  0.054076579
##                  YearBuilt YearRemodAdd    RoofStyle      RoofMatl
## MSSubClass     0.040847977  0.046319069 -0.149530066 -0.0212254362
## MSZoning      -0.314849236 -0.207395759 -0.027248158 -0.0102159528
## LotFrontage    0.114234058  0.087094040  0.188646662  0.0860974686
## LotArea        0.048313577  0.036907293  0.154337105  0.1100708236
## Street         0.102993469  0.095309320  0.003914650  0.0063926444
## Alley          0.342752858  0.157375616  0.017705176  0.0243653115
## LotShape      -0.335655049 -0.227488497 -0.038943585 -0.0457353758
## LandContour    0.094467890  0.034066073 -0.056159385 -0.0361569370
## LotConfig      0.020190807  0.016446929 -0.005700575 -0.0030781213
## LandSlope     -0.001515905 -0.027562071  0.081129226  0.1781781523
## Neighborhood   0.079701032  0.107089088  0.082819443 -0.0190485759
## Condition1     0.167909216  0.103760030  0.029444038  0.0042540349
## Condition2     0.066761124  0.065190984  0.096633020  0.0028541670
## BldgType       0.218346452  0.116531468 -0.018990767 -0.0210739551
## HouseStyle     0.314160011  0.233789105 -0.042204488  0.0067476120
## OverallQual    0.621910300  0.591266671  0.231408066  0.0276654710
## OverallCond   -0.361026759  0.021667763 -0.066440098 -0.0028650493
## YearBuilt      1.000000000  0.631695783  0.093715578 -0.0068664876
## YearRemodAdd   0.631695783  1.000000000  0.036062992 -0.0358833392
## RoofStyle      0.093715578  0.036062992  1.000000000  0.0761895518
## RoofMatl      -0.006866488 -0.035883339  0.076189552  1.0000000000
## Exterior1st    0.109887584  0.208467714 -0.051332295  0.0002664674
## Exterior2nd    0.094031570  0.196941172 -0.070305110  0.0020861344
## MasVnrType    -0.114914535 -0.027435517 -0.090704388 -0.0417024879
## MasVnrArea     0.303416846  0.206431622  0.307608977  0.0263439521
## ExterQual     -0.486182547 -0.494853225 -0.235815030 -0.0060685806
## ExterCond      0.285729506  0.066987912  0.046353705  0.0227144404
## Foundation     0.639799563  0.475789411  0.066665081 -0.0057330676
## BsmtQual      -0.592112864 -0.528967640 -0.140280554 -0.0083256328
## BsmtCond       0.212971349  0.137235388  0.020525734 -0.0263742436
## BsmtExposure  -0.328540329 -0.230326589 -0.085564937 -0.0568312379
## BsmtFinType1  -0.200871504 -0.072492346 -0.112842892 -0.0350308521
## BsmtFinSF1     0.309974503  0.176064499  0.243812721  0.0090024638
## BsmtFinType2   0.041858326  0.082551879 -0.008286875 -0.0960743291
## BsmtFinSF2    -0.008001422 -0.055943755  0.076666570  0.1570213143
## BsmtUnfSF      0.112528975  0.149946175  0.033226054 -0.0598432492
## TotalBsmtSF    0.425883558  0.306246029  0.313521232  0.0127850738
## Heating       -0.104929641 -0.080647184  0.009546861 -0.0083940243
## HeatingQC     -0.414880399 -0.513639433 -0.076577668 -0.0103326225
## CentralAir     0.361578028  0.274313390  0.028892097  0.0100905088
## Electrical     0.341669137  0.316690699  0.029063598  0.0294540913
## X1stFlrSF      0.338733120  0.243792904  0.335466292  0.0757045804
## X2ndFlrSF      0.025195059  0.177176754 -0.135105670  0.0102738163
## LowQualFinSF  -0.101153829 -0.059973421 -0.022150016 -0.0080064962
## GrLivArea      0.290411763  0.347946308  0.156042249  0.0702512314
## BsmtFullBath   0.235441774  0.150720035  0.174553704  0.0817283843
## BsmtHalfBath  -0.022719415 -0.076669934  0.059540630  0.0429127886
## FullBath       0.474027883  0.477064145  0.057305728 -0.0244052409
## HalfBath       0.296700272  0.238807192 -0.048569695  0.0285047727
## BedroomAbvGr  -0.035923462 -0.004413470  0.002523576 -0.0085629412
## KitchenAbvGr  -0.098643619 -0.135939793 -0.006983480  0.0004694295
## KitchenQual   -0.410055247 -0.489623911 -0.220721514  0.0147006120
## TotRmsAbvGrd   0.134838568  0.203619227  0.120631418  0.0204752373
## Functional     0.182975899  0.126525464 -0.009449047 -0.0667756398
## Fireplaces     0.193597253  0.153964701  0.167693268  0.1312005257
## FireplaceQu    0.011241414 -0.038109043 -0.091658725 -0.0434741917
## GarageType    -0.538577997 -0.306405560 -0.129264453 -0.0315195693
## GarageYrBlt    0.247851972  0.147635792  0.046096400 -0.0541751803
## GarageFinish  -0.478755899 -0.394803484 -0.148187963 -0.0429715129
## GarageCars     0.539486779  0.429467869  0.162152615  0.0301073998
## GarageArea     0.483668898  0.380261653  0.193122455  0.0370456958
## GarageQual     0.379170827  0.230120526  0.075071012 -0.0010571503
## GarageCond     0.305018964  0.193675503  0.048454188 -0.0463430905
## PavedDrive     0.502219768  0.248624992  0.088284471  0.0337351851
## WoodDeckSF     0.233889053  0.230723833  0.081417372  0.0604911572
## OpenPorchSF    0.208039737  0.258049281  0.028834327 -0.0045991147
## EnclosedPorch -0.363011803 -0.243582040 -0.055320889  0.0094224135
## X3SsnPorch    -0.005441987  0.025823434  0.032684011 -0.0088365153
## ScreenPorch   -0.031984383 -0.053760794  0.132408295  0.0123449351
## PoolArea      -0.001060325 -0.034861628 -0.019112170 -0.0056929614
## PoolQC        -0.027375981 -0.013930133 -0.022616621  0.0043448287
## Fence          0.196263145  0.205528247  0.033047303  0.0232139524
## MiscFeature   -0.052480842 -0.004056352 -0.001926296  0.0191015432
## MiscVal        0.007325349  0.003011243  0.064010853  0.0388367360
## MoSold         0.015598581  0.011770817  0.069922170 -0.0038081837
## YrSold        -0.011005605  0.029714895 -0.016000906 -0.0189563496
## SaleType       0.018889508  0.070557390 -0.053237426 -0.0103081387
## SaleCondition  0.239471895  0.264467718  0.017370478 -0.0496571438
##                 Exterior1st   Exterior2nd    MasVnrType   MasVnrArea
## MSSubClass    -0.1317342404 -0.1538782179  0.0183404967 -0.011023145
## MSZoning      -0.0902410130 -0.0880115551  0.0166429925 -0.044231114
## LotFrontage    0.0776175343  0.1274159449 -0.0700627429  0.223835007
## LotArea        0.0367056248  0.0732210900 -0.0531765605  0.187437116
## Street        -0.0042040847 -0.0126469064  0.0113232085  0.027841217
## Alley         -0.0091485464 -0.0075750468 -0.0405904713  0.085430449
## LotShape      -0.0303487320 -0.0278587092  0.0548013167 -0.145830220
## LandContour    0.0714564653  0.0570327871 -0.1022904031 -0.028661400
## LotConfig     -0.0112452012 -0.0132227481  0.0150872260 -0.029083296
## LandSlope     -0.0461639825 -0.0315110940  0.0795940850  0.070619683
## Neighborhood  -0.0235479370 -0.0514981142 -0.0192724432  0.108410835
## Condition1     0.0200594102  0.0299547796 -0.0386350883  0.026912021
## Condition2     0.0119243179 -0.0025930596 -0.0109793339  0.058641251
## BldgType      -0.1419446707 -0.1965732441  0.0071420002  0.059412843
## HouseStyle    -0.0145420149 -0.0199976908 -0.1369461156  0.083835871
## OverallQual    0.1762430901  0.1504632047 -0.0926125406  0.445712120
## OverallCond    0.0495490334  0.0284457703  0.0262346273 -0.140893384
## YearBuilt      0.1098875835  0.0940315699 -0.1149145349  0.303416846
## YearRemodAdd   0.2084677142  0.1969411724 -0.0274355166  0.206431622
## RoofStyle     -0.0513322947 -0.0703051103 -0.0907043885  0.307608977
## RoofMatl       0.0002664674  0.0020861344 -0.0417024879  0.026343952
## Exterior1st    1.0000000000  0.8428410410  0.0154766240  0.013424649
## Exterior2nd    0.8428410410  1.0000000000  0.0362283276 -0.002447489
## MasVnrType     0.0154766240  0.0362283276  1.0000000000 -0.356484615
## MasVnrArea     0.0134246489 -0.0024474894 -0.3564846151  1.000000000
## ExterQual     -0.0922080922 -0.1151002685 -0.0085919659 -0.385644220
## ExterCond      0.0070785452 -0.0049811113 -0.0215221076  0.061783676
## Foundation     0.1123112604  0.1408898339 -0.0598906370  0.192071418
## BsmtQual      -0.0844049177 -0.0695202442  0.0015882707 -0.300269045
## BsmtCond       0.0621554639  0.0310739596 -0.0722970427  0.094992397
## BsmtExposure  -0.0504129624 -0.0511574577  0.0827369062 -0.227575192
## BsmtFinType1   0.0296183823  0.0784467966  0.1548477474 -0.139489345
## BsmtFinSF1    -0.0383880007 -0.0493347191 -0.0881782712  0.342739515
## BsmtFinType2   0.0755778321  0.0647330949  0.0314647580  0.029258044
## BsmtFinSF2    -0.0658399016 -0.0769569096 -0.0457217864  0.038650717
## BsmtUnfSF      0.0830603109  0.0868777655  0.0607334074  0.061356065
## TotalBsmtSF    0.0162678484  0.0043687348 -0.0488306388  0.427640429
## Heating       -0.0832880219  0.0019543924  0.0322899098 -0.047525361
## HeatingQC     -0.2328928915 -0.2519236664  0.0376577121 -0.192987360
## CentralAir     0.0728942405  0.0063881645 -0.0817263928  0.138344715
## Electrical     0.0317708792 -0.0012100547 -0.0998863355  0.126615114
## X1stFlrSF      0.0023563445  0.0025350208 -0.0647826422  0.444612687
## X2ndFlrSF      0.1147920453  0.1194403729 -0.0523877547  0.061250366
## LowQualFinSF  -0.0107299788 -0.0114991176  0.0307991769 -0.045331251
## GrLivArea      0.1003948607  0.1044981158 -0.0957080065  0.413528808
## BsmtFullBath  -0.0149531484 -0.0123031399 -0.0661435131  0.199493420
## BsmtHalfBath  -0.0822715555 -0.1137552010 -0.0242272931  0.005712556
## FullBath       0.1210218247  0.1107189209 -0.0825701997  0.235035656
## HalfBath       0.0741445065  0.0704899122 -0.0896792525  0.175912354
## BedroomAbvGr   0.0315830464  0.0410778387 -0.0839750678  0.053436153
## KitchenAbvGr  -0.0558188125 -0.0372249611  0.0008314944 -0.065000378
## KitchenQual   -0.0914938133 -0.1136991811 -0.0150766961 -0.360295833
## TotRmsAbvGrd   0.0925862305  0.1114347002 -0.0668386990  0.274281141
## Functional     0.0036081554 -0.0019279414 -0.0574969479  0.052753873
## Fireplaces     0.0805860543  0.0852235061 -0.0860359268  0.299437775
## FireplaceQu   -0.0223293949 -0.0454612503 -0.1326582347 -0.088438299
## GarageType    -0.0150564464  0.0363515022  0.1269369539 -0.230426942
## GarageYrBlt    0.0110052405  0.0071913693 -0.0485085713  0.124382859
## GarageFinish  -0.0853041923 -0.0894650116  0.0628259468 -0.223001404
## GarageCars     0.1233591850  0.1151971685 -0.0862282658  0.354106226
## GarageArea     0.0944795723  0.0911769300 -0.0586878023  0.371371895
## GarageQual     0.0778284808  0.0170387411 -0.1016366280  0.149153440
## GarageCond     0.0361356412  0.0128531684 -0.0730282731  0.128278270
## PavedDrive     0.0009539607 -0.0455175127 -0.1157573453  0.179415616
## WoodDeckSF     0.0537251137  0.0629963884 -0.0696416516  0.173247326
## OpenPorchSF    0.0734405467  0.0504180131 -0.0326677362  0.159274471
## EnclosedPorch -0.0544611651 -0.0377451379  0.0617647980 -0.111330055
## X3SsnPorch    -0.0008897566 -0.0077014270  0.0141951217  0.006287421
## ScreenPorch   -0.0187473245 -0.0406402069 -0.0721215496  0.070971807
## PoolArea       0.0427070313  0.0254898856 -0.0028326223 -0.005047978
## PoolQC        -0.0298694989  0.0044195041 -0.0313592778 -0.049695200
## Fence          0.0855020340  0.0774685955  0.0028006089  0.095115927
## MiscFeature   -0.0295469422 -0.0439810882 -0.0137144529 -0.040905603
## MiscVal       -0.0275713383 -0.0377569313  0.0168114448  0.106085848
## MoSold        -0.0402781261 -0.0379515972 -0.0203985235  0.001540218
## YrSold         0.0414116751  0.0004857185  0.0435477834 -0.027721665
## SaleType      -0.0068644593  0.0200851232 -0.0745324707  0.019376255
## SaleCondition  0.1218222479  0.0917283628 -0.0073563813  0.080671698
##                   ExterQual     ExterCond   Foundation     BsmtQual
## MSSubClass    -0.0153537218  0.0012122842  0.051004680 -0.058476958
## MSZoning       0.1985300273 -0.0834976492 -0.296240860  0.188313881
## LotFrontage   -0.1585053984 -0.0121755337  0.114105036 -0.125861928
## LotArea       -0.0986328176 -0.0419110165  0.070872209 -0.102067702
## Street         0.0321103946  0.0804557872 -0.009661367 -0.007742082
## Alley         -0.1243919238  0.0955601540  0.176577905 -0.154186103
## LotShape       0.1956869567 -0.0872057070 -0.201986425  0.263354542
## LandContour    0.0482255282 -0.0012105254  0.068325466  0.052922408
## LotConfig      0.0009650159  0.0743093908 -0.017519962  0.057241952
## LandSlope     -0.0462534947 -0.0005661939  0.009735851 -0.056534184
## Neighborhood  -0.1938173530  0.0253326399  0.094952171 -0.173881640
## Condition1    -0.0620536015  0.0918349769  0.105364447 -0.095317452
## Condition2    -0.1607012619  0.0123825989  0.047968932 -0.087207654
## BldgType      -0.1130745025  0.0846390248  0.138953982 -0.133813970
## HouseStyle    -0.0672692421  0.0652799479  0.233368213 -0.195896873
## OverallQual   -0.6308404528  0.1975177446  0.418800120 -0.579465809
## OverallCond    0.2058934533 -0.2164476971 -0.234837956  0.275417680
## YearBuilt     -0.4861825470  0.2857295056  0.639799563 -0.592112864
## YearRemodAdd  -0.4948532247  0.0669879118  0.475789411 -0.528967640
## RoofStyle     -0.2358150300  0.0463537053  0.066665081 -0.140280554
## RoofMatl      -0.0060685806  0.0227144404 -0.005733068 -0.008325633
## Exterior1st   -0.0922080922  0.0070785452  0.112311260 -0.084404918
## Exterior2nd   -0.1151002685 -0.0049811113  0.140889834 -0.069520244
## MasVnrType    -0.0085919659 -0.0215221076 -0.059890637  0.001588271
## MasVnrArea    -0.3856442200  0.0617836763  0.192071418 -0.300269045
## ExterQual      1.0000000000 -0.0208378439 -0.386133381  0.598320168
## ExterCond     -0.0208378439  1.0000000000  0.214177577 -0.149513780
## Foundation    -0.3861333806  0.2141775773  1.000000000 -0.495868792
## BsmtQual       0.5983201684 -0.1495137805 -0.495868792  1.000000000
## BsmtCond      -0.0338598394  0.1706789069  0.027072972  0.001331743
## BsmtExposure   0.2357924383 -0.0891337259 -0.159252925  0.314391294
## BsmtFinType1  -0.0005659130 -0.0214730091 -0.066236170  0.053961861
## BsmtFinSF1    -0.2706990872  0.0492642989  0.159872544 -0.297835004
## BsmtFinType2  -0.0886029669  0.0976977646  0.015564634 -0.094559991
## BsmtFinSF2     0.0574546963 -0.0755358662 -0.055656255  0.075644966
## BsmtUnfSF     -0.1987322288  0.1004895663  0.040020074 -0.088530835
## TotalBsmtSF   -0.4508667450  0.1195467091  0.181363466 -0.362819583
## Heating        0.0005613878 -0.0437039929  0.003581812  0.051311428
## HeatingQC      0.4418827029 -0.0396589305 -0.377301871  0.391344234
## CentralAir    -0.0620385509  0.1398544192  0.152740291 -0.133266969
## Electrical    -0.1468481952  0.0796390782  0.178470332 -0.198507643
## X1stFlrSF     -0.4086769860  0.0776752883  0.239825877 -0.331014320
## X2ndFlrSF     -0.0729039474 -0.0415259233  0.109549543 -0.123889534
## LowQualFinSF   0.0252786798  0.0247439202 -0.098641225  0.073553246
## GrLivArea     -0.3959749212  0.0299675360  0.282605489 -0.372077601
## BsmtFullBath  -0.1713368290  0.0190997578  0.152138205 -0.224729690
## BsmtHalfBath   0.0667578149 -0.0133198371 -0.067035148  0.057659922
## FullBath      -0.3955233419  0.0489423775  0.395180697 -0.435768967
## HalfBath      -0.1370106058  0.0572000032  0.229347434 -0.200318105
## BedroomAbvGr   0.0850362315 -0.0206440231  0.006853091  0.082301463
## KitchenAbvGr   0.0910393939 -0.0623711617  0.021667454  0.093022959
## KitchenQual    0.6690179784 -0.0640227076 -0.330263331  0.534671731
## TotRmsAbvGrd  -0.2278325773  0.0064728560  0.181851617 -0.195648088
## Functional    -0.0773907986  0.0713343603  0.103990550 -0.090943410
## Fireplaces    -0.2106897281  0.0168679071  0.104625191 -0.196372620
## FireplaceQu    0.1924464962 -0.0055683242  0.024555895  0.094584133
## GarageType     0.2538342573 -0.1767260005 -0.328741557  0.284784527
## GarageYrBlt   -0.0902608034  0.0991435320  0.069053849 -0.096484819
## GarageFinish   0.3735006275 -0.1120082895 -0.402370595  0.443267969
## GarageCars    -0.4286942486  0.1244655052  0.373554077 -0.473318366
## GarageArea    -0.4311837445  0.0893845977  0.327763460 -0.426831573
## GarageQual    -0.0960580368  0.1457847519  0.212883806 -0.135326119
## GarageCond    -0.0944203233  0.1017698749  0.117030357 -0.118301037
## PavedDrive    -0.0855151857  0.1928913938  0.215020674 -0.132087752
## WoodDeckSF    -0.1822391075 -0.0199638513  0.107409544 -0.205478603
## OpenPorchSF   -0.2467205351  0.0537962042  0.224084440 -0.227232837
## EnclosedPorch  0.1150533469 -0.1661498910 -0.205545678  0.197586153
## X3SsnPorch    -0.0516627497 -0.0390325102 -0.033804805 -0.005153591
## ScreenPorch    0.0092927314 -0.0140750528 -0.013402340  0.026742555
## PoolArea      -0.0076753367 -0.0441616149 -0.026076977  0.003061963
## PoolQC         0.0812643045  0.0152664373 -0.000597322  0.049060729
## Fence         -0.1976155192  0.1184653950  0.194600053 -0.217516624
## MiscFeature    0.0831252069 -0.0695950437 -0.011863818  0.062672569
## MiscVal       -0.0343524840  0.0083674165  0.009008753 -0.005786731
## MoSold        -0.0164102041  0.0474290181 -0.004914837 -0.016228271
## YrSold        -0.0168669681 -0.0480741586 -0.015809684 -0.002069500
## SaleType       0.0587811748  0.0140086036  0.050038423  0.006149155
## SaleCondition -0.2005775345  0.0751892371  0.181029889 -0.180419853
##                    BsmtCond BsmtExposure  BsmtFinType1   BsmtFinSF1
## MSSubClass     0.0173322663 -0.085422647 -0.0187217715 -0.058162205
## MSZoning      -0.0545922053  0.041958502  0.0535920697 -0.061367574
## LotFrontage   -0.0333152001 -0.135601136 -0.0236128032  0.187454482
## LotArea       -0.0226409477 -0.097679298 -0.0337207518  0.185890284
## Street         0.0847985133 -0.008779919 -0.0468559553  0.049029753
## Alley          0.0650351443 -0.030451521 -0.1166447474  0.085311763
## LotShape      -0.0826625564  0.209928898  0.1084312018 -0.186288409
## LandContour    0.0645823022  0.080353190 -0.0112895091 -0.054039477
## LotConfig      0.0207990224  0.015775659 -0.0103590051 -0.031935187
## LandSlope      0.0050829020 -0.137995449 -0.0586026150  0.120484038
## Neighborhood  -0.0195339183 -0.011044287 -0.0193501708  0.066151056
## Condition1     0.0106220832  0.013154034 -0.0128396870  0.013859063
## Condition2     0.0283284559 -0.075464171 -0.0597225166  0.090543984
## BldgType       0.0602292338 -0.051968504 -0.0842632913  0.045303551
## HouseStyle     0.0768441317 -0.218700792 -0.0599939871  0.007379890
## OverallQual    0.1528700529 -0.332895821 -0.1077404680  0.323205980
## OverallCond    0.0619124766  0.089092917 -0.0936511363 -0.055530248
## YearBuilt      0.2129713495 -0.328540329 -0.2008715043  0.309974503
## YearRemodAdd   0.1372353876 -0.230326589 -0.0724923460  0.176064499
## RoofStyle      0.0205257337 -0.085564937 -0.1128428920  0.243812721
## RoofMatl      -0.0263742436 -0.056831238 -0.0350308521  0.009002464
## Exterior1st    0.0621554639 -0.050412962  0.0296183823 -0.038388001
## Exterior2nd    0.0310739596 -0.051157458  0.0784467966 -0.049334719
## MasVnrType    -0.0722970427  0.082736906  0.1548477474 -0.088178271
## MasVnrArea     0.0949923970 -0.227575192 -0.1394893452  0.342739515
## ExterQual     -0.0338598394  0.235792438 -0.0005659130 -0.270699087
## ExterCond      0.1706789069 -0.089133726 -0.0214730091  0.049264299
## Foundation     0.0270729718 -0.159252925 -0.0662361704  0.159872544
## BsmtQual       0.0013317426  0.314391294  0.0539618613 -0.297835004
## BsmtCond       1.0000000000 -0.111603199 -0.0418991913  0.076167075
## BsmtExposure  -0.1116031988  1.000000000  0.1953631836 -0.350740679
## BsmtFinType1  -0.0418991913  0.195363184  1.0000000000 -0.593162814
## BsmtFinSF1     0.0761670746 -0.350740679 -0.5931628136  1.000000000
## BsmtFinType2   0.0516175087  0.014447249  0.0812100967  0.061449192
## BsmtFinSF2     0.0147762673 -0.097674721 -0.0995643437 -0.059304624
## BsmtUnfSF      0.1051051705  0.038662787  0.4766649346 -0.458343187
## TotalBsmtSF    0.1876820410 -0.360751796 -0.1784618884  0.550777591
## Heating       -0.0420004278  0.044751216  0.0338303840 -0.052383647
## HeatingQC     -0.0667020770  0.134722878 -0.0156968512 -0.105841416
## CentralAir     0.1867401228 -0.138259420 -0.1670015052  0.166086238
## Electrical     0.0557249690 -0.141007960 -0.1563655117  0.143458705
## X1stFlrSF      0.0474344486 -0.256776016 -0.1251262907  0.470291076
## X2ndFlrSF     -0.0041854887  0.118009558  0.1348756903 -0.188340199
## LowQualFinSF  -0.0522464314  0.047303824  0.0667321984 -0.068102965
## GrLivArea      0.0305318145 -0.104043490  0.0202818639  0.216317701
## BsmtFullBath   0.0630266742 -0.289167295 -0.4635669022  0.629295906
## BsmtHalfBath   0.0367183007 -0.073548109 -0.1219074920  0.089252077
## FullBath       0.0325811420 -0.089323387  0.0212417605  0.105073106
## HalfBath       0.0731286727  0.040834160  0.0430371253 -0.018459579
## BedroomAbvGr   0.0230636065  0.117396134  0.0934917695 -0.118980737
## KitchenAbvGr  -0.0778620224  0.100224098  0.1017316232 -0.092024265
## KitchenQual   -0.0487398216  0.236513436  0.0403061233 -0.278698382
## TotRmsAbvGrd  -0.0087873336 -0.008699488  0.0728567665  0.061320576
## Functional     0.1208478872 -0.094702209 -0.0471759268  0.051707866
## Fireplaces     0.0312546192 -0.202585756 -0.1814608961  0.326474564
## FireplaceQu    0.0242090446  0.088217130 -0.0389665617 -0.033344353
## GarageType    -0.1548697503  0.225890544  0.2126977814 -0.301312280
## GarageYrBlt    0.1250633362 -0.062836507 -0.1314785270  0.135240785
## GarageFinish  -0.0833935842  0.240909693  0.0767633885 -0.197388129
## GarageCars     0.1244011358 -0.245974829 -0.1181175968  0.285538312
## GarageArea     0.1125516163 -0.264296461 -0.1279344318  0.323306463
## GarageQual     0.2199275183 -0.122286517 -0.2020399879  0.180394926
## GarageCond     0.1707300564 -0.096922282 -0.1661987397  0.154247407
## PavedDrive     0.2066940708 -0.169288691 -0.2447556162  0.235887401
## WoodDeckSF     0.0615274461 -0.231022933 -0.1750228849  0.242729697
## OpenPorchSF    0.0316866853 -0.075608394 -0.0007578105  0.136718574
## EnclosedPorch -0.1129890211  0.092655084  0.0942361403 -0.097166881
## X3SsnPorch    -0.0521740647 -0.002883793 -0.0542726858  0.088271843
## ScreenPorch   -0.0182619994 -0.035990827 -0.0624102071  0.131567368
## PoolArea      -0.0055991371  0.006740386 -0.0126962533  0.012122993
## PoolQC        -0.0149182596  0.020939786  0.0003130859 -0.064154443
## Fence         -0.0023227025 -0.087609046  0.0873875554 -0.010872144
## MiscFeature    0.0061396246  0.006172509 -0.0528649536  0.002620830
## MiscVal        0.0237403177 -0.006283415 -0.0456352897  0.165411059
## MoSold        -0.0009813622 -0.016269913 -0.0044071157  0.013901513
## YrSold         0.0266963147  0.056015532 -0.0219536022  0.030651371
## SaleType       0.0430250294 -0.024427917 -0.0679874970  0.045458202
## SaleCondition  0.0885519718 -0.058388889  0.0023221915  0.022213364
##                BsmtFinType2   BsmtFinSF2     BsmtUnfSF  TotalBsmtSF
## MSSubClass     0.0649489468 -0.078891292 -0.1102300664 -0.199795792
## MSZoning       0.0157010774 -0.003454989 -0.0659540648 -0.129383506
## LotFrontage   -0.0320650538  0.039750957  0.0858219431  0.292832113
## LotArea       -0.0453019692  0.054345593  0.0723070567  0.283715620
## Street        -0.0073778403  0.019129608  0.0058667489  0.063723171
## Alley         -0.0247721237  0.011995307 -0.0179610208  0.074624865
## LotShape      -0.0002265093 -0.043851663 -0.0112929379 -0.219788502
## LandContour    0.0416447162 -0.026432077  0.0241344413 -0.042194400
## LotConfig      0.0144381916 -0.006573943 -0.0021484710 -0.037511786
## LandSlope     -0.0701066034  0.084307504 -0.0982348371  0.060382164
## Neighborhood  -0.0115267220  0.022988781  0.1070078483  0.182549893
## Condition1    -0.0295844276  0.029106779  0.0112732797  0.036932393
## Condition2     0.0109670807 -0.002395802 -0.0048070378  0.087231079
## BldgType       0.0287853864 -0.034158352 -0.0169175509  0.016208813
## HouseStyle     0.0156087694  0.013850913 -0.1584209198 -0.143100584
## OverallQual    0.0996367862 -0.027882670  0.2440188283  0.561183254
## OverallCond   -0.0611596722  0.042817952 -0.1408975079 -0.178849489
## YearBuilt      0.0418583256 -0.008001422  0.1125289754  0.425883558
## YearRemodAdd   0.0825518787 -0.055943755  0.1499461752  0.306246029
## RoofStyle     -0.0082868746  0.076666570  0.0332260540  0.313521232
## RoofMatl      -0.0960743291  0.157021314 -0.0598432492  0.012785074
## Exterior1st    0.0755778321 -0.065839902  0.0830603109  0.016267848
## Exterior2nd    0.0647330949 -0.076956910  0.0868777655  0.004368735
## MasVnrType     0.0314647580 -0.045721786  0.0607334074 -0.048830639
## MasVnrArea     0.0292580440  0.038650717  0.0613560652  0.427640429
## ExterQual     -0.0886029669  0.057454696 -0.1987322288 -0.450866745
## ExterCond      0.0976977646 -0.075535866  0.1004895663  0.119546709
## Foundation     0.0155646343 -0.055656255  0.0400200743  0.181363466
## BsmtQual      -0.0945599915  0.075644966 -0.0885308351 -0.362819583
## BsmtCond       0.0516175087  0.014776267  0.1051051705  0.187682041
## BsmtExposure   0.0144472486 -0.097674721  0.0386627870 -0.360751796
## BsmtFinType1   0.0812100967 -0.099564344  0.4766649346 -0.178461888
## BsmtFinSF1     0.0614491924 -0.059304624 -0.4583431867  0.550777591
## BsmtFinType2   1.0000000000 -0.720810830  0.2902007097  0.062058087
## BsmtFinSF2    -0.7208108302  1.000000000 -0.2647707075  0.076425914
## BsmtUnfSF      0.2902007097 -0.264770707  1.0000000000  0.410066668
## TotalBsmtSF    0.0620580869  0.076425914  0.4100666676  1.000000000
## Heating       -0.0223203522 -0.009153644 -0.0088309936 -0.066114013
## HeatingQC     -0.1310955237  0.062221573 -0.1682084106 -0.249681050
## CentralAir    -0.0205738165  0.060058877  0.0351070003  0.228990007
## Electrical    -0.0247123782  0.040310284  0.0069586314  0.170148629
## X1stFlrSF     -0.0236365398  0.073466176  0.2759458466  0.783984499
## X2ndFlrSF      0.1179102844 -0.095754102 -0.0055179726 -0.236875102
## LowQualFinSF   0.0244841751 -0.023958963  0.0672448722 -0.013138718
## GrLivArea      0.0849758086 -0.024875428  0.2275961430  0.436490663
## BsmtFullBath  -0.1305908913  0.166748083 -0.3726516483  0.344856483
## BsmtHalfBath  -0.1128649491  0.123807338 -0.1171015490  0.025461896
## FullBath       0.0855749615 -0.074618898  0.2583792845  0.332856356
## HalfBath       0.0736940375 -0.032466770 -0.0299083061 -0.061365099
## BedroomAbvGr   0.0839091002 -0.044723354  0.2003734897  0.057629916
## KitchenAbvGr   0.0005243834 -0.034746555  0.1021883214 -0.007534326
## KitchenQual   -0.0756066859  0.036282518 -0.1456661322 -0.415190580
## TotRmsAbvGrd   0.1022735479 -0.059984341  0.2445975699  0.280195028
## Functional     0.0976198274 -0.025901118  0.0658393380  0.107663117
## Fireplaces    -0.0337576719  0.083812876 -0.0421984908  0.326839997
## FireplaceQu   -0.0116273469  0.002063897 -0.1012497560 -0.133224113
## GarageType     0.0443183883 -0.082712668 -0.0250795812 -0.366909252
## GarageYrBlt   -0.0337724447  0.061485091 -0.0149801419  0.148519211
## GarageFinish  -0.0619803482  0.009919291 -0.0646212463 -0.262339170
## GarageCars     0.0525309329  0.006459173  0.1483217761  0.441854159
## GarageArea     0.0331038287  0.022972848  0.1468534340  0.485745708
## GarageQual    -0.0664241059  0.081043605 -0.0149855189  0.202646209
## GarageCond    -0.0487614937  0.065750965 -0.0190088124  0.165752870
## PavedDrive    -0.0261734661  0.081299396 -0.0102421848  0.264376324
## WoodDeckSF    -0.0599776056  0.126154414 -0.0724865099  0.227897361
## OpenPorchSF    0.0464441746 -0.014039302  0.1117789363  0.244927331
## EnclosedPorch -0.0185540220  0.029081448  0.0127742338 -0.075543199
## X3SsnPorch    -0.0127295761 -0.014454452 -0.0461268424  0.039357402
## ScreenPorch   -0.0446930128  0.039865183 -0.0847996299  0.067300153
## PoolArea      -0.0712494090  0.050162245 -0.0296062502  0.003233478
## PoolQC         0.0166949188 -0.011575814  0.0285221530 -0.042331591
## Fence          0.0832184487 -0.060401087  0.1500292505  0.112700339
## MiscFeature   -0.0600510943  0.048941260 -0.0742173800 -0.050988324
## MiscVal        0.0155616466 -0.012788600  0.0003998984  0.165060615
## MoSold        -0.0114406821 -0.003003628  0.0097967186  0.022729470
## YrSold        -0.0226749193 -0.011784304 -0.0353484911 -0.008087877
## SaleType      -0.0303902581  0.037430074 -0.1016740347 -0.038680187
## SaleCondition  0.0193407085  0.014860937  0.1096624289  0.136836496
##                     Heating    HeatingQC   CentralAir    Electrical
## MSSubClass     0.0425899874  0.014829895 -0.057803499  0.0413431250
## MSZoning       0.0031966643  0.182271195  0.002763814 -0.1197749897
## LotFrontage    0.0323200662 -0.093421808  0.054073949  0.0433438496
## LotArea        0.0414530064 -0.040513644  0.062355183  0.0270828567
## Street         0.0054221972 -0.017334488  0.066860378  0.0226542492
## Alley         -0.0093843187 -0.072079557  0.137233061  0.1366261799
## LotShape       0.0343199520  0.151884258 -0.131682636 -0.1543058049
## LandContour   -0.0301172570 -0.008122926  0.063286762  0.0210446265
## LotConfig     -0.0021236357  0.008809804  0.022731269  0.0301818396
## LandSlope      0.0845454502 -0.014303234 -0.030182356  0.0002605848
## Neighborhood   0.0020582405 -0.078620629  0.003118107  0.0321344500
## Condition1    -0.0047347470 -0.064336062  0.119692114  0.1096258357
## Condition2     0.0024208849 -0.040612374 -0.007824425 -0.0084947294
## BldgType       0.0115357006 -0.021990739  0.029644544  0.0875158161
## HouseStyle    -0.0004115342 -0.115770646  0.136020369  0.1663236184
## OverallQual   -0.1066637458 -0.463878168  0.300713137  0.2496228387
## OverallCond   -0.0339937974  0.056591667  0.121102402 -0.0060559985
## YearBuilt     -0.1049296412 -0.414880399  0.361578028  0.3416691374
## YearRemodAdd  -0.0806471840 -0.513639433  0.274313390  0.3166906986
## RoofStyle      0.0095468613 -0.076577668  0.028892097  0.0290635979
## RoofMatl      -0.0083940243 -0.010332622  0.010090509  0.0294540913
## Exterior1st   -0.0832880219 -0.232892891  0.072894240  0.0317708792
## Exterior2nd    0.0019543924 -0.251923666  0.006388165 -0.0012100547
## MasVnrType     0.0322899098  0.037657712 -0.081726393 -0.0998863355
## MasVnrArea    -0.0475253608 -0.192987360  0.138344715  0.1266151138
## ExterQual      0.0005613878  0.441882703 -0.062038551 -0.1468481952
## ExterCond     -0.0437039929 -0.039658931  0.139854419  0.0796390782
## Foundation     0.0035818119 -0.377301871  0.152740291  0.1784703323
## BsmtQual       0.0513114276  0.391344234 -0.133266969 -0.1985076431
## BsmtCond      -0.0420004278 -0.066702077  0.186740123  0.0557249690
## BsmtExposure   0.0447512155  0.134722878 -0.138259420 -0.1410079596
## BsmtFinType1   0.0338303840 -0.015696851 -0.167001505 -0.1563655117
## BsmtFinSF1    -0.0523836474 -0.105841416  0.166086238  0.1434587051
## BsmtFinType2  -0.0223203522 -0.131095524 -0.020573816 -0.0247123782
## BsmtFinSF2    -0.0091536435  0.062221573  0.060058877  0.0403102839
## BsmtUnfSF     -0.0088309936 -0.168208411  0.035107000  0.0069586314
## TotalBsmtSF   -0.0661140128 -0.249681050  0.228990007  0.1701486294
## Heating        1.0000000000  0.038026493 -0.256914815 -0.1190422315
## HeatingQC      0.0380264929  1.000000000 -0.201957223 -0.1720639487
## CentralAir    -0.2569148145 -0.201957223  1.000000000  0.3115617463
## Electrical    -0.1190422315 -0.172063949  0.311561746  1.0000000000
## X1stFlrSF     -0.0242133612 -0.179744659  0.162241819  0.1244395827
## X2ndFlrSF      0.0331395946 -0.189646929  0.028761727  0.0172135989
## LowQualFinSF  -0.0067910552  0.040920627 -0.024782909  0.0172863566
## GrLivArea      0.0082353761 -0.307956713  0.155705070  0.1185197065
## BsmtFullBath  -0.0104112317 -0.082136641  0.111091345  0.1064161368
## BsmtHalfBath  -0.0217831712  0.083650853  0.048993201  0.0059317135
## FullBath       0.0012175419 -0.333060308  0.144324067  0.1732159297
## HalfBath      -0.0457082472 -0.220634718  0.167232177  0.0897525613
## BedroomAbvGr   0.0362655223 -0.003453366  0.059422658  0.0422161099
## KitchenAbvGr   0.1319634279  0.136023583 -0.190566014 -0.0548203729
## KitchenQual   -0.0038805888  0.419318760 -0.065082024 -0.1007364704
## TotRmsAbvGrd   0.0608900695 -0.193251258  0.048162391  0.0685364337
## Functional    -0.0431667383 -0.073678639  0.111849750  0.0775847133
## Fireplaces    -0.0483292618 -0.155134289  0.161472664  0.1120289342
## FireplaceQu   -0.0081336792  0.034347219  0.018308375  0.0249534833
## GarageType     0.0731846307  0.196695782 -0.324639585 -0.1847565592
## GarageYrBlt   -0.0826503710 -0.098645832  0.332283386  0.0896265617
## GarageFinish   0.0382022783  0.300037014 -0.097815780 -0.1720082293
## GarageCars    -0.0545024713 -0.337415474  0.313733243  0.2160055482
## GarageArea    -0.0693061610 -0.299615539  0.304998775  0.1949514114
## GarageQual    -0.1049522693 -0.128091125  0.356862997  0.1867703786
## GarageCond    -0.1356766304 -0.082121889  0.350604973  0.1460121107
## PavedDrive    -0.0951748008 -0.166723876  0.424963505  0.1613732036
## WoodDeckSF    -0.0423339991 -0.117208070  0.127112621  0.1438270296
## OpenPorchSF    0.0772005697 -0.249526556  0.078413341  0.0388336878
## EnclosedPorch  0.0438368650  0.116089022 -0.128587065 -0.1466555836
## X3SsnPorch    -0.0074950717  0.010199612  0.024224460  0.0064933435
## ScreenPorch   -0.0254437878 -0.004119685  0.040533494 -0.0267026294
## PoolArea      -0.0048287308 -0.014165369  0.015606708  0.0169437058
## PoolQC         0.0036852539  0.008235094 -0.011910931 -0.0129313188
## Fence         -0.0047166547 -0.132296699  0.006715030  0.0579564878
## MiscFeature    0.0352667999  0.029741355  0.017516382 -0.0382023188
## MiscVal        0.0135133534 -0.003935724  0.010118083  0.0010348177
## MoSold         0.0065608108  0.001525363 -0.025277954  0.0413909685
## YrSold         0.0081073093  0.008384669  0.003610950  0.0077289798
## SaleType       0.0273365062 -0.056983062  0.049401875 -0.0117585290
## SaleCondition -0.1261191019 -0.227005657  0.208678401  0.0996476804
##                  X1stFlrSF     X2ndFlrSF LowQualFinSF    GrLivArea BsmtFullBath
## MSSubClass    -0.245603134  0.3114302462  0.005021497  0.068829221  0.017072692
## MSZoning      -0.116661350  0.0194971156  0.035835500 -0.075523320 -0.067901165
## LotFrontage    0.433650682 -0.0335622465 -0.035203944  0.323329325  0.112144879
## LotArea        0.456417361 -0.0078615218 -0.012456886  0.366323997  0.088378572
## Street         0.061166776  0.0296443194  0.005171870  0.076304770  0.032374847
## Alley          0.075720468 -0.0315798748 -0.088782354  0.026682712  0.097299056
## LotShape      -0.220266374 -0.0491436122  0.042813132 -0.219305298 -0.096280302
## LandContour   -0.101429728 -0.0045722316 -0.071892885 -0.093654344 -0.041589549
## LotConfig     -0.074136941  0.0100302866  0.016611906 -0.050597257 -0.002911184
## LandSlope      0.076734044 -0.0725956140 -0.016739837 -0.001480460  0.097245210
## Neighborhood   0.169505955  0.0102855711 -0.003984938  0.147543629  0.074213062
## Condition1     0.020362425  0.0184970203 -0.023810403  0.030560144  0.011406593
## Condition2     0.092904122 -0.0284791683  0.002309120  0.051721727  0.059536456
## BldgType      -0.021420066 -0.0592812141 -0.024492457 -0.071137072  0.100024379
## HouseStyle    -0.131648185  0.3885117319 -0.110714780  0.218544832  0.037255646
## OverallQual    0.481842157  0.1958687330 -0.068135359  0.558598649  0.216042119
## OverallCond   -0.170451155 -0.0193161959 -0.009580223 -0.157371690 -0.030827987
## YearBuilt      0.338733120  0.0251950593 -0.101153829  0.290411763  0.235441774
## YearRemodAdd   0.243792904  0.1771767539 -0.059973421  0.347946308  0.150720035
## RoofStyle      0.335466292 -0.1351056696 -0.022150016  0.156042249  0.174553704
## RoofMatl       0.075704580  0.0102738163 -0.008006496  0.070251231  0.081728384
## Exterior1st    0.002356344  0.1147920453 -0.010729979  0.100394861 -0.014953148
## Exterior2nd    0.002535021  0.1194403729 -0.011499118  0.104498116 -0.012303140
## MasVnrType    -0.064782642 -0.0523877547  0.030799177 -0.095708006 -0.066143513
## MasVnrArea     0.444612687  0.0612503665 -0.045331251  0.413528808  0.199493420
## ExterQual     -0.408676986 -0.0729039474  0.025278680 -0.395974921 -0.171336829
## ExterCond      0.077675288 -0.0415259233  0.024743920  0.029967536  0.019099758
## Foundation     0.239825877  0.1095495435 -0.098641225  0.282605489  0.152138205
## BsmtQual      -0.331014320 -0.1238895342  0.073553246 -0.372077601 -0.224729690
## BsmtCond       0.047434449 -0.0041854887 -0.052246431  0.030531814  0.063026674
## BsmtExposure  -0.256776016  0.1180095582  0.047303824 -0.104043490 -0.289167295
## BsmtFinType1  -0.125126291  0.1348756903  0.066732198  0.020281864 -0.463566902
## BsmtFinSF1     0.470291076 -0.1883401991 -0.068102965  0.216317701  0.629295906
## BsmtFinType2  -0.023636540  0.1179102844  0.024484175  0.084975809 -0.130590891
## BsmtFinSF2     0.073466176 -0.0957541018 -0.023958963 -0.024875428  0.166748083
## BsmtUnfSF      0.275945847 -0.0055179726  0.067244872  0.227596143 -0.372651648
## TotalBsmtSF    0.783984499 -0.2368751018 -0.013138718  0.436490663  0.344856483
## Heating       -0.024213361  0.0331395946 -0.006791055  0.008235376 -0.010411232
## HeatingQC     -0.179744659 -0.1896469285  0.040920627 -0.307956713 -0.082136641
## CentralAir     0.162241819  0.0287617268 -0.024782909  0.155705070  0.111091345
## Electrical     0.124439583  0.0172135989  0.017286357  0.118519707  0.106416137
## X1stFlrSF      1.000000000 -0.2982222749 -0.011518584  0.560630501  0.270726398
## X2ndFlrSF     -0.298222275  1.0000000000 -0.035687742  0.618446194 -0.152132382
## LowQualFinSF  -0.011518584 -0.0356877420  1.000000000  0.050346009 -0.046702410
## GrLivArea      0.560630501  0.6184461943  0.050346009  1.000000000  0.085979307
## BsmtFullBath   0.270726398 -0.1521323824 -0.046702410  0.085979307  1.000000000
## BsmtHalfBath   0.018517123 -0.0952125064 -0.020777504 -0.069176117 -0.149704798
## FullBath       0.365944533  0.3845149926 -0.004985887  0.632700572  0.024672854
## HalfBath      -0.088929158  0.6134301103 -0.053635118  0.453582246 -0.036126048
## BedroomAbvGr   0.090188193  0.5044577460  0.031993493  0.513831260 -0.159832231
## KitchenAbvGr   0.084255382  0.0792755446 -0.008343785  0.137003450  0.006826185
## KitchenQual   -0.393701505 -0.1001917904  0.032341366 -0.406691809 -0.185424005
## TotRmsAbvGrd   0.374372661  0.5484644012  0.065386465  0.788012110 -0.023843393
## Functional    -0.069796593  0.0130614872 -0.101922042 -0.055164067  0.012133295
## Fireplaces     0.404610811  0.1436371537  0.008156332  0.456944344  0.199861552
## FireplaceQu   -0.130527360  0.1102349098  0.019758242 -0.009752299 -0.033569549
## GarageType    -0.403953864  0.0969019594  0.081146031 -0.239944122 -0.200636319
## GarageYrBlt    0.130010072  0.0195699355 -0.023078331  0.121467371  0.077666312
## GarageFinish  -0.258481172 -0.1287081773  0.054111427 -0.318537683 -0.168185876
## GarageCars     0.441720184  0.1788073958 -0.038649750  0.513594006  0.191018687
## GarageArea     0.494145130  0.1164526886 -0.038313182  0.502599865  0.190925737
## GarageQual     0.171919975 -0.0010627382 -0.046540448  0.135832931  0.141699299
## GarageCond     0.145285458  0.0011685951 -0.022865429  0.118072820  0.119641317
## PavedDrive     0.210084982  0.0114356715 -0.020276303  0.180337106  0.153586796
## WoodDeckSF     0.219572929  0.0875549014 -0.005261835  0.255415636  0.197217050
## OpenPorchSF    0.263812554  0.1637798543 -0.020197124  0.356365646  0.091293566
## EnclosedPorch -0.066071106  0.0488457206  0.115253653 -0.001412992 -0.084806023
## X3SsnPorch     0.028679518 -0.0478277916 -0.007149046 -0.018560854  0.068464060
## ScreenPorch    0.107901798 -0.0182391813 -0.013932411  0.071416833  0.082036304
## PoolArea       0.112558411 -0.0061628995 -0.004605802  0.086542037  0.014917155
## PoolQC        -0.148360240  0.0235758956  0.003515116 -0.100914987 -0.046623075
## Fence          0.103423968  0.0732905310  0.005880031  0.148827547  0.015940260
## MiscFeature   -0.007712622 -0.0004141948 -0.014161479 -0.007967679  0.020121121
## MiscVal        0.181386873 -0.0223701194 -0.007424047  0.128686852  0.009404342
## MoSold         0.048064241 -0.0094152834  0.046472555  0.035472361  0.018545448
## YrSold        -0.013565510 -0.0100975911  0.026864316 -0.017433838  0.023613455
## SaleType      -0.022467529  0.0720045521 -0.124307493  0.032673498  0.060084456
## SaleCondition  0.083708280  0.0408206669 -0.048948912  0.099561103 -0.006741601
##                BsmtHalfBath      FullBath      HalfBath  BedroomAbvGr
## MSSubClass    -0.0013317922  0.1464890749  0.1802056051  0.0055414926
## MSZoning       0.0535029929 -0.1883416337 -0.0971502593  0.0443471657
## LotFrontage   -0.0400144217  0.1452473296  0.0192705153  0.1851794996
## LotArea       -0.0094035974  0.1478712217  0.0795811669  0.1811714088
## Street         0.0165894288  0.0661058455  0.0269630906  0.0532473295
## Alley         -0.0085720982  0.1136780759  0.1235578820 -0.0514930061
## LotShape      -0.0395157240 -0.2308366002 -0.1381557332 -0.0205495345
## LandContour   -0.0068726823  0.0301669215  0.0313317089  0.0417289136
## LotConfig      0.0175017177 -0.0304419130 -0.0103038139 -0.0183948032
## LandSlope      0.0712509816 -0.0833670247 -0.0120660595 -0.1343548102
## Neighborhood  -0.0055273327  0.1430773329  0.0014758150  0.0294355947
## Condition1    -0.0268459659  0.0770817004  0.0601489717  0.0042385365
## Condition2     0.0074067940  0.0639780907 -0.0069805731 -0.0223434000
## BldgType      -0.0005045277  0.1223911819  0.0039190383 -0.2126855813
## HouseStyle     0.0758963572  0.2203022264  0.3907101714  0.1502909065
## OverallQual   -0.0406546439  0.5075803304  0.2719507893  0.0459005360
## OverallCond    0.0522051133 -0.2366171490 -0.1164841729 -0.0297154879
## YearBuilt     -0.0227194151  0.4740278831  0.2967002724 -0.0359234621
## YearRemodAdd  -0.0766699337  0.4770641450  0.2388071922 -0.0044134698
## RoofStyle      0.0595406304  0.0573057281 -0.0485696953  0.0025235759
## RoofMatl       0.0429127886 -0.0244052409  0.0285047727 -0.0085629412
## Exterior1st   -0.0822715555  0.1210218247  0.0741445065  0.0315830464
## Exterior2nd   -0.1137552010  0.1107189209  0.0704899122  0.0410778387
## MasVnrType    -0.0242272931 -0.0825701997 -0.0896792525 -0.0839750678
## MasVnrArea     0.0057125561  0.2350356558  0.1759123535  0.0534361528
## ExterQual      0.0667578149 -0.3955233419 -0.1370106058  0.0850362315
## ExterCond     -0.0133198371  0.0489423775  0.0572000032 -0.0206440231
## Foundation    -0.0670351479  0.3951806971  0.2293474336  0.0068530910
## BsmtQual       0.0576599224 -0.4357689673 -0.2003181048  0.0823014625
## BsmtCond       0.0367183007  0.0325811420  0.0731286727  0.0230636065
## BsmtExposure  -0.0735481085 -0.0893233871  0.0408341600  0.1173961340
## BsmtFinType1  -0.1219074920  0.0212417605  0.0430371253  0.0934917695
## BsmtFinSF1     0.0892520771  0.1050731060 -0.0184595788 -0.1189807372
## BsmtFinType2  -0.1128649491  0.0855749615  0.0736940375  0.0839091002
## BsmtFinSF2     0.1238073382 -0.0746188977 -0.0324667700 -0.0447233543
## BsmtUnfSF     -0.1171015490  0.2583792845 -0.0299083061  0.2003734897
## TotalBsmtSF    0.0254618955  0.3328563560 -0.0613650993  0.0576299165
## Heating       -0.0217831712  0.0012175419 -0.0457082472  0.0362655223
## HeatingQC      0.0836508531 -0.3330603076 -0.2206347181 -0.0034533658
## CentralAir     0.0489932008  0.1443240672  0.1672321771  0.0594226582
## Electrical     0.0059317135  0.1732159297  0.0897525613  0.0422161099
## X1stFlrSF      0.0185171233  0.3659445333 -0.0889291577  0.0901881935
## X2ndFlrSF     -0.0952125064  0.3845149926  0.6134301103  0.5044577460
## LowQualFinSF  -0.0207775044 -0.0049858875 -0.0536351184  0.0319934933
## GrLivArea     -0.0691761168  0.6327005722  0.4535822461  0.5138312599
## BsmtFullBath  -0.1497047979  0.0246728537 -0.0361260483 -0.1598322310
## BsmtHalfBath   1.0000000000 -0.0403420210 -0.1020167988 -0.0069809091
## FullBath      -0.0403420210  1.0000000000  0.1802972977  0.3492851493
## HalfBath      -0.1020167988  0.1802972977  1.0000000000  0.2636375914
## BedroomAbvGr  -0.0069809091  0.3492851493  0.2636375914  1.0000000000
## KitchenAbvGr  -0.0917603610  0.2109723866 -0.0157932094  0.2856738849
## KitchenQual    0.0561854106 -0.3448972718 -0.1483308338  0.0418578402
## TotRmsAbvGrd  -0.0749343700  0.5003538627  0.3485904018  0.6644980740
## Functional     0.0238925571  0.0545681203  0.0345353794  0.0047359203
## Fireplaces     0.0494793345  0.2286808646  0.2079701401  0.0661328640
## FireplaceQu    0.0453563527  0.0118372688  0.1183439296  0.0595257639
## GarageType    -0.0348392141 -0.2667299496 -0.1096776092  0.0520079608
## GarageYrBlt   -0.0133536478  0.1025427283  0.0774376253 -0.0653071117
## GarageFinish   0.0003945947 -0.3555309676 -0.2116657270 -0.0410727149
## GarageCars    -0.0443106759  0.4878086471  0.2501107828  0.0988454934
## GarageArea    -0.0181028304  0.4093730158  0.1949962385  0.0819071101
## GarageQual     0.0218734689  0.1879090243  0.0953104583  0.0191794179
## GarageCond     0.0245844864  0.0956995392  0.0935756920 -0.0009551047
## PavedDrive     0.0496718676  0.1788871948  0.1597031486  0.0986607909
## WoodDeckSF     0.0625076121  0.1750531134  0.1251356913  0.0169021766
## OpenPorchSF   -0.0444292720  0.2608289611  0.1652456101  0.0792306308
## EnclosedPorch -0.0110436086 -0.1229299807 -0.0698729688  0.0577717972
## X3SsnPorch     0.0182323221 -0.0127597312 -0.0515980251 -0.0850699498
## ScreenPorch    0.0509434744 -0.0237359189 -0.0004455869 -0.0283738644
## PoolArea       0.1278701390  0.0007681818 -0.0263447181 -0.0070874540
## PoolQC        -0.0579900382 -0.0022869297 -0.0366832516  0.0554959169
## Fence         -0.0935088314  0.2201808795  0.0794904357  0.0261313785
## MiscFeature    0.0772351973  0.0036391459 -0.0360176261  0.0519468377
## MiscVal        0.0698298175 -0.0069364664  0.0468935093 -0.0053975284
## MoSold         0.0150804615  0.0373084294  0.0063087893  0.0647270842
## YrSold         0.0060100789  0.0102831397  0.0135042135 -0.0051132432
## SaleType       0.0068015632  0.0304030185  0.0506189086  0.0435427309
## SaleCondition -0.0072502215  0.1439602357  0.0685653134 -0.0550215556
##                KitchenAbvGr  KitchenQual TotRmsAbvGrd   Functional   Fireplaces
## MSSubClass     0.2380163178  0.042186392  0.041294116  0.016095916 -0.064356992
## MSZoning       0.0305119339  0.152058161  0.009954503 -0.019230160 -0.062994771
## LotFrontage    0.0144372738 -0.190057110  0.317801380 -0.075958532  0.230034304
## LotArea       -0.0318302880 -0.136437443  0.289576040 -0.202615129  0.282210204
## Street         0.0131033110 -0.023934872  0.059012475  0.067763394  0.041160981
## Alley         -0.0560325164 -0.073623598 -0.049316068  0.001208695  0.051723391
## LotShape       0.0884611507  0.179941679 -0.130951365 -0.054606874 -0.189909838
## LandContour    0.0133849818  0.079886099 -0.065736334  0.059570095 -0.114078123
## LotConfig     -0.0119019467  0.015552808 -0.038983361 -0.021409765 -0.027700462
## LandSlope     -0.0424116026 -0.046555801 -0.074007634 -0.042009984  0.119976588
## Neighborhood   0.0478163803 -0.184395875  0.088723246  0.034855158  0.012583121
## Condition1    -0.0413593992 -0.057173872  0.048705338  0.046949436  0.038717241
## Condition2    -0.0170948969 -0.130444774  0.029517851 -0.007413398  0.092261840
## BldgType       0.2189950297 -0.052420845 -0.150475035  0.066416840 -0.064002425
## HouseStyle     0.0075476536 -0.033848892  0.196284739  0.064653275  0.106171839
## OverallQual   -0.1348386345 -0.576358303  0.352016337  0.193003026  0.384998974
## OverallCond   -0.0866583443  0.089338241 -0.130290956  0.059249649 -0.038643283
## YearBuilt     -0.0986436189 -0.410055247  0.134838568  0.182975899  0.193597253
## YearRemodAdd  -0.1359397932 -0.489623911  0.203619227  0.126525464  0.153964701
## RoofStyle     -0.0069834797 -0.220721514  0.120631418 -0.009449047  0.167693268
## RoofMatl       0.0004694295  0.014700612  0.020475237 -0.066775640  0.131200526
## Exterior1st   -0.0558188125 -0.091493813  0.092586231  0.003608155  0.080586054
## Exterior2nd   -0.0372249611 -0.113699181  0.111434700 -0.001927941  0.085223506
## MasVnrType     0.0008314944 -0.015076696 -0.066838699 -0.057496948 -0.086035927
## MasVnrArea    -0.0650003776 -0.360295833  0.274281141  0.052753873  0.299437775
## ExterQual      0.0910393939  0.669017978 -0.227832577 -0.077390799 -0.210689728
## ExterCond     -0.0623711617 -0.064022708  0.006472856  0.071334360  0.016867907
## Foundation     0.0216674544 -0.330263331  0.181851617  0.103990550  0.104625191
## BsmtQual       0.0930229593  0.534671731 -0.195648088 -0.090943410 -0.196372620
## BsmtCond      -0.0778620224 -0.048739822 -0.008787334  0.120847887  0.031254619
## BsmtExposure   0.1002240983  0.236513436 -0.008699488 -0.094702209 -0.202585756
## BsmtFinType1   0.1017316232  0.040306123  0.072856767 -0.047175927 -0.181460896
## BsmtFinSF1    -0.0920242650 -0.278698382  0.061320576  0.051707866  0.326474564
## BsmtFinType2   0.0005243834 -0.075606686  0.102273548  0.097619827 -0.033757672
## BsmtFinSF2    -0.0347465546  0.036282518 -0.059984341 -0.025901118  0.083812876
## BsmtUnfSF      0.1021883214 -0.145666132  0.244597570  0.065839338 -0.042198491
## TotalBsmtSF   -0.0075343260 -0.415190580  0.280195028  0.107663117  0.326839997
## Heating        0.1319634279 -0.003880589  0.060890070 -0.043166738 -0.048329262
## HeatingQC      0.1360235830  0.419318760 -0.193251258 -0.073678639 -0.155134289
## CentralAir    -0.1905660140 -0.065082024  0.048162391  0.111849750  0.161472664
## Electrical    -0.0548203729 -0.100736470  0.068536434  0.077584713  0.112028934
## X1stFlrSF      0.0842553821 -0.393701505  0.374372661 -0.069796593  0.404610811
## X2ndFlrSF      0.0792755446 -0.100191790  0.548464401  0.013061487  0.143637154
## LowQualFinSF  -0.0083437850  0.032341366  0.065386465 -0.101922042  0.008156332
## GrLivArea      0.1370034498 -0.406691809  0.788012110 -0.055164067  0.456944344
## BsmtFullBath   0.0068261845 -0.185424005 -0.023843393  0.012133295  0.199861552
## BsmtHalfBath  -0.0917603610  0.056185411 -0.074934370  0.023892557  0.049479334
## FullBath       0.2109723866 -0.344897272  0.500353863  0.054568120  0.228680865
## HalfBath      -0.0157932094 -0.148330834  0.348590402  0.034535379  0.207970140
## BedroomAbvGr   0.2856738849  0.041857840  0.664498074  0.004735920  0.066132864
## KitchenAbvGr   1.0000000000  0.117787847  0.338219322  0.015677106 -0.091651714
## KitchenQual    0.1177878465  1.000000000 -0.247192269 -0.074778182 -0.216592890
## TotRmsAbvGrd   0.3382193221 -0.247192269  1.000000000 -0.043444331  0.294427464
## Functional     0.0156771057 -0.074778182 -0.043444331  1.000000000 -0.073045277
## Fireplaces    -0.0916517136 -0.216592890  0.294427464 -0.073045277  1.000000000
## FireplaceQu    0.0045669105  0.205674205 -0.014256710 -0.006463482  0.048065940
## GarageType     0.1550914226  0.198763180 -0.119404093 -0.036954577 -0.289140171
## GarageYrBlt   -0.2173561688 -0.083903189  0.019910959  0.054565579  0.187424577
## GarageFinish   0.0269666430  0.332375280 -0.232601553 -0.078166676 -0.211538884
## GarageCars    -0.0229659273 -0.378255166  0.355146351  0.046910952  0.342686805
## GarageArea    -0.0506923596 -0.381558723  0.320071269  0.037643994  0.320823416
## GarageQual    -0.0760764395 -0.076686896  0.066688692  0.047154390  0.163323212
## GarageCond    -0.1861149586 -0.033381670  0.049054502  0.079174738  0.177649709
## PavedDrive    -0.1027411707 -0.060328118  0.109556691  0.146186062  0.199379506
## WoodDeckSF    -0.0847793600 -0.193823952  0.146831608  0.007202993  0.254527525
## OpenPorchSF   -0.0661722494 -0.224145648  0.244570958 -0.007469411  0.149039504
## EnclosedPorch  0.0188369604  0.132615846  0.027953245 -0.167490510  0.025176399
## X3SsnPorch    -0.0181126308 -0.034827229 -0.059911031 -0.084797971  0.028695510
## ScreenPorch   -0.0614875951 -0.022797680  0.005289813 -0.008074502  0.156342908
## PoolArea      -0.0116691370 -0.006994568  0.055018513 -0.153437882  0.105926207
## PoolQC         0.0089058044  0.060127012 -0.017801724  0.008374655 -0.095744193
## Fence          0.0750200992 -0.176514238  0.128023153  0.055863749 -0.005950569
## MiscFeature    0.0197901275  0.052470526  0.012751297 -0.115554949 -0.023575350
## MiscVal       -0.0051863875 -0.042187967  0.094063141 -0.004794476  0.014801747
## MoSold         0.0441586950 -0.053121009  0.050665710 -0.026385755  0.016598333
## YrSold         0.0386140528  0.008833325 -0.031627479  0.043180987  0.010001865
## SaleType       0.0094579498 -0.022359939  0.017376839  0.024383189  0.064416688
## SaleCondition -0.1116783308 -0.175208833  0.030754875  0.070781178  0.068433632
##                FireplaceQu   GarageType  GarageYrBlt  GarageFinish   GarageCars
## MSSubClass     0.061578852  0.149179369 -0.129583090 -0.0525608046 -0.053153642
## MSZoning      -0.004615419  0.179609638 -0.024393128  0.1404906696 -0.132713805
## LotFrontage   -0.067385824 -0.285324911  0.099589172 -0.1425955304  0.312812288
## LotArea       -0.030554342 -0.236535673  0.088599923 -0.0645457883  0.263168284
## Street        -0.015912252 -0.067111581  0.037175665 -0.0332757889  0.049489782
## Alley          0.017730022 -0.177562923  0.116748093 -0.0821339821  0.118497377
## LotShape      -0.008303884  0.299852641 -0.157433253  0.2532655743 -0.282312241
## LandContour    0.067180571 -0.007042701 -0.020252982 -0.0038548821  0.016813674
## LotConfig      0.049522016  0.041157497 -0.040072416  0.0585598184 -0.104786789
## LandSlope      0.012178905 -0.061646281  0.047153124 -0.0040026895  0.006150764
## Neighborhood  -0.055377588 -0.052935510 -0.006979787 -0.0392480986  0.134925799
## Condition1     0.011116242 -0.088602286  0.058750485 -0.0987908560  0.086209758
## Condition2    -0.024152795 -0.074504896  0.040900731 -0.0661007588  0.095966076
## BldgType       0.027678711 -0.017600060 -0.052837292 -0.0940169812 -0.003102084
## HouseStyle     0.102525442 -0.151312346  0.047989805 -0.2049330834  0.198093767
## OverallQual   -0.098414672 -0.408540969  0.268124685 -0.4194357280  0.600821031
## OverallCond   -0.019675659  0.176704472  0.037649468  0.2144411163 -0.178351368
## YearBuilt      0.011241414 -0.538577997  0.247851972 -0.4787558995  0.539486779
## YearRemodAdd  -0.038109043 -0.306405560  0.147635792 -0.3948034837  0.429467869
## RoofStyle     -0.091658725 -0.129264453  0.046096400 -0.1481879630  0.162152615
## RoofMatl      -0.043474192 -0.031519569 -0.054175180 -0.0429715129  0.030107400
## Exterior1st   -0.022329395 -0.015056446  0.011005241 -0.0853041923  0.123359185
## Exterior2nd   -0.045461250  0.036351502  0.007191369 -0.0894650116  0.115197169
## MasVnrType    -0.132658235  0.126936954 -0.048508571  0.0628259468 -0.086228266
## MasVnrArea    -0.088438299 -0.230426942  0.124382859 -0.2230014035  0.354106226
## ExterQual      0.192446496  0.253834257 -0.090260803  0.3735006275 -0.428694249
## ExterCond     -0.005568324 -0.176726000  0.099143532 -0.1120082895  0.124465505
## Foundation     0.024555895 -0.328741557  0.069053849 -0.4023705946  0.373554077
## BsmtQual       0.094584133  0.284784527 -0.096484819  0.4432679686 -0.473318366
## BsmtCond       0.024209045 -0.154869750  0.125063336 -0.0833935842  0.124401136
## BsmtExposure   0.088217130  0.225890544 -0.062836507  0.2409096926 -0.245974829
## BsmtFinType1  -0.038966562  0.212697781 -0.131478527  0.0767633885 -0.118117597
## BsmtFinSF1    -0.033344353 -0.301312280  0.135240785 -0.1973881295  0.285538312
## BsmtFinType2  -0.011627347  0.044318388 -0.033772445 -0.0619803482  0.052530933
## BsmtFinSF2     0.002063897 -0.082712668  0.061485091  0.0099192907  0.006459173
## BsmtUnfSF     -0.101249756 -0.025079581 -0.014980142 -0.0646212463  0.148321776
## TotalBsmtSF   -0.133224113 -0.366909252  0.148519211 -0.2623391700  0.441854159
## Heating       -0.008133679  0.073184631 -0.082650371  0.0382022783 -0.054502471
## HeatingQC      0.034347219  0.196695782 -0.098645832  0.3000370141 -0.337415474
## CentralAir     0.018308375 -0.324639585  0.332283386 -0.0978157799  0.313733243
## Electrical     0.024953483 -0.184756559  0.089626562 -0.1720082293  0.216005548
## X1stFlrSF     -0.130527360 -0.403953864  0.130010072 -0.2584811717  0.441720184
## X2ndFlrSF      0.110234910  0.096901959  0.019569935 -0.1287081773  0.178807396
## LowQualFinSF   0.019758242  0.081146031 -0.023078331  0.0541114274 -0.038649750
## GrLivArea     -0.009752299 -0.239944122  0.121467371 -0.3185376830  0.513594006
## BsmtFullBath  -0.033569549 -0.200636319  0.077666312 -0.1681858763  0.191018687
## BsmtHalfBath   0.045356353 -0.034839214 -0.013353648  0.0003945947 -0.044310676
## FullBath       0.011837269 -0.266729950  0.102542728 -0.3555309676  0.487808647
## HalfBath       0.118343930 -0.109677609  0.077437625 -0.2116657270  0.250110783
## BedroomAbvGr   0.059525764  0.052007961 -0.065307112 -0.0410727149  0.098845493
## KitchenAbvGr   0.004566911  0.155091423 -0.217356169  0.0269666430 -0.022965927
## KitchenQual    0.205674205  0.198763180 -0.083903189  0.3323752795 -0.378255166
## TotRmsAbvGrd  -0.014256710 -0.119404093  0.019910959 -0.2326015534  0.355146351
## Functional    -0.006463482 -0.036954577  0.054565579 -0.0781666763  0.046910952
## Fireplaces     0.048065940 -0.289140171  0.187424577 -0.2115388841  0.342686805
## FireplaceQu    1.000000000 -0.073036677  0.018152470  0.0369549877 -0.051872530
## GarageType    -0.073036677  1.000000000 -0.448490618  0.2962137917 -0.439129818
## GarageYrBlt    0.018152470 -0.448490618  1.000000000  0.1427400043  0.563685641
## GarageFinish   0.036954988  0.296213792  0.142740004  1.0000000000 -0.258912949
## GarageCars    -0.051872530 -0.439129818  0.563685641 -0.2589129494  1.000000000
## GarageArea    -0.073873561 -0.428351671  0.538032092 -0.1949575974  0.897021510
## GarageQual     0.032013382 -0.375867464  0.414835369 -0.0990766277  0.344109290
## GarageCond     0.034966498 -0.396076264  0.534828598 -0.0181671881  0.364161907
## PavedDrive     0.037002035 -0.423366368  0.366050969 -0.1362298701  0.310868910
## WoodDeckSF     0.049852249 -0.218952693  0.129781274 -0.1966235779  0.252859796
## OpenPorchSF   -0.046740357 -0.166401231  0.050749876 -0.1730248762  0.195008123
## EnclosedPorch  0.042654190  0.149500652 -0.082514638  0.1511999537 -0.120455326
## X3SsnPorch    -0.019697740 -0.006592087 -0.004485875 -0.0092704614  0.007314981
## ScreenPorch    0.019018930 -0.114548326  0.051062052 -0.0189494169  0.036548945
## PoolArea       0.015927666 -0.050411208  0.012688744 -0.0131571434  0.043314283
## PoolQC         0.017732574  0.033491431 -0.011604433  0.0529908572 -0.035708254
## Fence         -0.027268425 -0.052320282 -0.011956773 -0.1293585319  0.148846369
## MiscFeature   -0.024217829 -0.038870495 -0.046720846 -0.0005364102 -0.066229001
## MiscVal       -0.023562485 -0.035446009 -0.005213477 -0.0205761598  0.002893076
## MoSold        -0.003016645  0.009222054  0.021391037  0.0179543562  0.062487297
## YrSold         0.002184820  0.030226525 -0.009735869  0.0151683031 -0.006096468
## SaleType       0.062969577 -0.039998304 -0.014699889 -0.0401337996 -0.008019294
## SaleCondition -0.032882290 -0.170650560  0.160633737 -0.1567621307  0.204993142
##                 GarageArea   GarageQual    GarageCond    PavedDrive
## MSSubClass    -0.108261766 -0.019357821 -0.0688052730  0.0022479767
## MSZoning      -0.146416575 -0.118345021 -0.0721936134 -0.0793072995
## LotFrontage    0.353851866  0.104761188  0.0963500599  0.0309512524
## LotArea        0.315554649  0.069696474  0.0467730867 -0.0172794084
## Street         0.053668913  0.042662484  0.0612324235  0.1834506043
## Alley          0.112143950  0.159951666  0.1462479411  0.2193602997
## LotShape      -0.253379697 -0.165651960 -0.1470961807 -0.1934108916
## LandContour    0.010745755  0.044132370 -0.0272758140 -0.0178098804
## LotConfig     -0.086809563 -0.046113545 -0.0077248684  0.0137677660
## LandSlope      0.019969113 -0.002347519  0.0293031610  0.0266116495
## Neighborhood   0.148766237  0.039766907  0.0037223719  0.0115484615
## Condition1     0.069905535  0.068916704  0.0842711507  0.0977771901
## Condition2     0.089838723  0.047786948  0.0154357233  0.0069316418
## BldgType      -0.049361489  0.057621550 -0.0096844015  0.0915857936
## HouseStyle     0.130279828  0.147258650  0.1052260394  0.1746914299
## OverallQual    0.568249088  0.295775467  0.3016902667  0.3569629475
## OverallCond   -0.157104090 -0.037325151  0.1006813928 -0.0082792508
## YearBuilt      0.483668898  0.379170827  0.3050189641  0.5022197682
## YearRemodAdd   0.380261653  0.230120526  0.1936755027  0.2486249921
## RoofStyle      0.193122455  0.075071012  0.0484541885  0.0882844710
## RoofMatl       0.037045696 -0.001057150 -0.0463430905  0.0337351851
## Exterior1st    0.094479572  0.077828481  0.0361356412  0.0009539607
## Exterior2nd    0.091176930  0.017038741  0.0128531684 -0.0455175127
## MasVnrType    -0.058687802 -0.101636628 -0.0730282731 -0.1157573453
## MasVnrArea     0.371371895  0.149153440  0.1282782697  0.1794156158
## ExterQual     -0.431183744 -0.096058037 -0.0944203233 -0.0855151857
## ExterCond      0.089384598  0.145784752  0.1017698749  0.1928913938
## Foundation     0.327763460  0.212883806  0.1170303570  0.2150206743
## BsmtQual      -0.426831573 -0.135326119 -0.1183010372 -0.1320877517
## BsmtCond       0.112551616  0.219927518  0.1707300564  0.2066940708
## BsmtExposure  -0.264296461 -0.122286517 -0.0969222821 -0.1692886907
## BsmtFinType1  -0.127934432 -0.202039988 -0.1661987397 -0.2447556162
## BsmtFinSF1     0.323306463  0.180394926  0.1542474071  0.2358874010
## BsmtFinType2   0.033103829 -0.066424106 -0.0487614937 -0.0261734661
## BsmtFinSF2     0.022972848  0.081043605  0.0657509652  0.0812993955
## BsmtUnfSF      0.146853434 -0.014985519 -0.0190088124 -0.0102421848
## TotalBsmtSF    0.485745708  0.202646209  0.1657528700  0.2643763241
## Heating       -0.069306161 -0.104952269 -0.1356766304 -0.0951748008
## HeatingQC     -0.299615539 -0.128091125 -0.0821218891 -0.1667238755
## CentralAir     0.304998775  0.356862997  0.3506049726  0.4249635046
## Electrical     0.194951411  0.186770379  0.1460121107  0.1613732036
## X1stFlrSF      0.494145130  0.171919975  0.1452854577  0.2100849817
## X2ndFlrSF      0.116452689 -0.001062738  0.0011685951  0.0114356715
## LowQualFinSF  -0.038313182 -0.046540448 -0.0228654293 -0.0202763029
## GrLivArea      0.502599865  0.135832931  0.1180728200  0.1803371060
## BsmtFullBath   0.190925737  0.141699299  0.1196413165  0.1535867961
## BsmtHalfBath  -0.018102830  0.021873469  0.0245844864  0.0496718676
## FullBath       0.409373016  0.187909024  0.0956995392  0.1788871948
## HalfBath       0.194996238  0.095310458  0.0935756920  0.1597031486
## BedroomAbvGr   0.081907110  0.019179418 -0.0009551047  0.0986607909
## KitchenAbvGr  -0.050692360 -0.076076439 -0.1861149586 -0.1027411707
## KitchenQual   -0.381558723 -0.076686896 -0.0333816704 -0.0603281183
## TotRmsAbvGrd   0.320071269  0.066688692  0.0490545019  0.1095566914
## Functional     0.037643994  0.047154390  0.0791747380  0.1461860624
## Fireplaces     0.320823416  0.163323212  0.1776497086  0.1993795063
## FireplaceQu   -0.073873561  0.032013382  0.0349664979  0.0370020346
## GarageType    -0.428351671 -0.375867464 -0.3960762636 -0.4233663679
## GarageYrBlt    0.538032092  0.414835369  0.5348285984  0.3660509692
## GarageFinish  -0.194957597 -0.099076628 -0.0181671881 -0.1362298701
## GarageCars     0.897021510  0.344109290  0.3641619074  0.3108689104
## GarageArea     1.000000000  0.325795450  0.3594017499  0.3070964190
## GarageQual     0.325795450  1.000000000  0.4739729929  0.3806279567
## GarageCond     0.359401750  0.473972993  1.0000000000  0.4479730717
## PavedDrive     0.307096419  0.380627957  0.4479730717  1.0000000000
## WoodDeckSF     0.249664827  0.124702861  0.1207568449  0.1318940177
## OpenPorchSF    0.224863996  0.098112906  0.0549971528  0.0974042029
## EnclosedPorch -0.096544465 -0.189722603 -0.0980428366 -0.2149853861
## X3SsnPorch     0.022756356 -0.002350679  0.0074187621 -0.0008509474
## ScreenPorch    0.073417581  0.012989773  0.0292752016  0.0415734793
## PoolArea       0.043935803  0.003924079 -0.0024469952 -0.0419396370
## PoolQC        -0.046148480  0.037745788  0.0524891721 -0.0148108604
## Fence          0.122253559  0.005869349 -0.0659218977 -0.0162482336
## MiscFeature   -0.056457984  0.005203857 -0.0160494723  0.0327205527
## MiscVal        0.036430337  0.016978682  0.0082108051  0.0221919545
## MoSold         0.054062591  0.024282933 -0.0135946461 -0.0041297999
## YrSold         0.001416969  0.031494837  0.0008123687 -0.0049584157
## SaleType      -0.030462543  0.003662958  0.0591161982  0.0662838881
## SaleCondition  0.169674316  0.117430530  0.1320621467  0.1059950326
##                 WoodDeckSF   OpenPorchSF EnclosedPorch    X3SsnPorch
## MSSubClass    -0.022538732 -0.0254205474  -0.029051376 -0.0297085365
## MSZoning      -0.022380424 -0.1938114617   0.112485013 -0.0011901083
## LotFrontage    0.134720170  0.1686261119   0.012664833 -0.0338607193
## LotArea        0.158482918  0.1648153058   0.099850428 -0.0018458578
## Street         0.036906057  0.0198902643  -0.097139095  0.0057080283
## Alley          0.011550701  0.1406509843  -0.184462005  0.0356077895
## LotShape      -0.181126557 -0.0988911780   0.091653704 -0.0069334261
## LandContour   -0.024803802 -0.0234346292  -0.039387838 -0.0136487381
## LotConfig      0.039553383 -0.0699613914  -0.010710772  0.0359519013
## LandSlope      0.080856211  0.0105846944   0.041168788  0.0292615293
## Neighborhood   0.004978897  0.1671016166   0.014114898  0.0162367011
## Condition1     0.026934694  0.0080628606  -0.077633894 -0.0185644530
## Condition2     0.038570345  0.0250606274   0.010349846  0.0025485018
## BldgType      -0.051778659 -0.0234900059  -0.106725473  0.0063538503
## HouseStyle     0.161401418  0.1206688142  -0.135570164 -0.0423030986
## OverallQual    0.270790126  0.2883671828  -0.161339298  0.0028027027
## OverallCond    0.043057947 -0.1037829212   0.072177737  0.0712845345
## YearBuilt      0.233889053  0.2080397368  -0.363011803 -0.0054419869
## YearRemodAdd   0.230723833  0.2580492808  -0.243582040  0.0258234343
## RoofStyle      0.081417372  0.0288343266  -0.055320889  0.0326840111
## RoofMatl       0.060491157 -0.0045991147   0.009422414 -0.0088365153
## Exterior1st    0.053725114  0.0734405467  -0.054461165 -0.0008897566
## Exterior2nd    0.062996388  0.0504180131  -0.037745138 -0.0077014270
## MasVnrType    -0.069641652 -0.0326677362   0.061764798  0.0141951217
## MasVnrArea     0.173247326  0.1592744707  -0.111330055  0.0062874211
## ExterQual     -0.182239107 -0.2467205351   0.115053347 -0.0516627497
## ExterCond     -0.019963851  0.0537962042  -0.166149891 -0.0390325102
## Foundation     0.107409544  0.2240844401  -0.205545678 -0.0338048051
## BsmtQual      -0.205478603 -0.2272328367   0.197586153 -0.0051535911
## BsmtCond       0.061527446  0.0316866853  -0.112989021 -0.0521740647
## BsmtExposure  -0.231022933 -0.0756083942   0.092655084 -0.0028837932
## BsmtFinType1  -0.175022885 -0.0007578105   0.094236140 -0.0542726858
## BsmtFinSF1     0.242729697  0.1367185743  -0.097166881  0.0882718435
## BsmtFinType2  -0.059977606  0.0464441746  -0.018554022 -0.0127295761
## BsmtFinSF2     0.126154414 -0.0140393022   0.029081448 -0.0144544522
## BsmtUnfSF     -0.072486510  0.1117789363   0.012774234 -0.0461268424
## TotalBsmtSF    0.227897361  0.2449273314  -0.075543199  0.0393574019
## Heating       -0.042333999  0.0772005697   0.043836865 -0.0074950717
## HeatingQC     -0.117208070 -0.2495265559   0.116089022  0.0101996118
## CentralAir     0.127112621  0.0784133405  -0.128587065  0.0242244600
## Electrical     0.143827030  0.0388336878  -0.146655584  0.0064933435
## X1stFlrSF      0.219572929  0.2638125537  -0.066071106  0.0286795182
## X2ndFlrSF      0.087554901  0.1637798543   0.048845721 -0.0478277916
## LowQualFinSF  -0.005261835 -0.0201971236   0.115253653 -0.0071490456
## GrLivArea      0.255415636  0.3563656457  -0.001412992 -0.0185608543
## BsmtFullBath   0.197217050  0.0912935663  -0.084806023  0.0684640600
## BsmtHalfBath   0.062507612 -0.0444292720  -0.011043609  0.0182323221
## FullBath       0.175053113  0.2608289611  -0.122929981 -0.0127597312
## HalfBath       0.125135691  0.1652456101  -0.069872969 -0.0515980251
## BedroomAbvGr   0.016902177  0.0792306308   0.057771797 -0.0850699498
## KitchenAbvGr  -0.084779360 -0.0661722494   0.018836960 -0.0181126308
## KitchenQual   -0.193823952 -0.2241456481   0.132615846 -0.0348272289
## TotRmsAbvGrd   0.146831608  0.2445709578   0.027953245 -0.0599110309
## Functional     0.007202993 -0.0074694109  -0.167490510 -0.0847979712
## Fireplaces     0.254527525  0.1490395044   0.025176399  0.0286955101
## FireplaceQu    0.049852249 -0.0467403570   0.042654190 -0.0196977398
## GarageType    -0.218952693 -0.1664012311   0.149500652 -0.0065920870
## GarageYrBlt    0.129781274  0.0507498758  -0.082514638 -0.0044858751
## GarageFinish  -0.196623578 -0.1730248762   0.151199954 -0.0092704614
## GarageCars     0.252859796  0.1950081226  -0.120455326  0.0073149807
## GarageArea     0.249664827  0.2248639957  -0.096544465  0.0227563564
## GarageQual     0.124702861  0.0981129062  -0.189722603 -0.0023506789
## GarageCond     0.120756845  0.0549971528  -0.098042837  0.0074187621
## PavedDrive     0.131894018  0.0974042029  -0.214985386 -0.0008509474
## WoodDeckSF     1.000000000  0.0194876417  -0.113035876  0.0366215533
## OpenPorchSF    0.019487642  1.0000000000  -0.030918121 -0.0138653105
## EnclosedPorch -0.113035876 -0.0309181209   1.000000000 -0.0276448063
## X3SsnPorch     0.036621553 -0.0138653105  -0.027644806  1.0000000000
## ScreenPorch   -0.030682012  0.0222325354  -0.048550286 -0.0267850572
## PoolArea       0.123409226  0.0707953459   0.142589118 -0.0050832774
## PoolQC        -0.062596672 -0.0147695057  -0.028176768  0.0038795220
## Fence         -0.045918774  0.0825767990  -0.057114494 -0.0291030358
## MiscFeature    0.045895217  0.0434238520   0.027271310  0.0462039399
## MiscVal        0.108898169  0.1504037896   0.001353416 -0.0012420241
## MoSold         0.014995181 -0.0002549744  -0.012542683  0.0224439541
## YrSold        -0.022818044 -0.0171224450   0.007615986  0.0278180494
## SaleType       0.077390564 -0.0197958245   0.001298338  0.0066711008
## SaleCondition  0.084288433  0.0519277180  -0.082904001  0.0349319948
##                 ScreenPorch      PoolArea        PoolQC        Fence
## MSSubClass    -0.0719782087 -0.0177899655  0.0259383665  0.087086637
## MSZoning       0.0073250980 -0.0022374782  0.0017076278 -0.109234040
## LotFrontage    0.1041169247  0.1348240762 -0.0468684322  0.013838383
## LotArea        0.0887115750  0.1404937984 -0.0471896252  0.010517898
## Street         0.0193772478  0.0036774208 -0.0028065820 -0.010760742
## Alley         -0.0382325605  0.0047963954 -0.0036605757  0.029847824
## LotShape      -0.0208654395 -0.0066750150  0.0233109357 -0.063512474
## LandContour   -0.0643154060 -0.0312817028  0.0982121804  0.010936811
## LotConfig     -0.0155836564 -0.0223333047  0.0301001903  0.024321662
## LandSlope      0.0751087968  0.0029851452 -0.0712412788  0.014768902
## Neighborhood  -0.0082851013  0.0389822439 -0.0053863884  0.057283160
## Condition1     0.0078411040 -0.0432509500  0.0024507511  0.054754319
## Condition2     0.0324800096  0.0016418828 -0.0012530736 -0.022198093
## BldgType      -0.0432455847 -0.0244144200  0.0186329161  0.128916170
## HouseStyle    -0.0093997035  0.0104318214 -0.0047595876  0.023717197
## OverallQual    0.0223339825 -0.0123301205 -0.0766633214  0.185081839
## OverallCond    0.0331460457 -0.0371906199  0.0295704931 -0.187472444
## YearBuilt     -0.0319843835 -0.0010603254 -0.0273759809  0.196263145
## YearRemodAdd  -0.0537607940 -0.0348616278 -0.0139301331  0.205528247
## RoofStyle      0.1324082947 -0.0191121701 -0.0226166206  0.033047303
## RoofMatl       0.0123449351 -0.0056929614  0.0043448287  0.023213952
## Exterior1st   -0.0187473245  0.0427070313 -0.0298694989  0.085502034
## Exterior2nd   -0.0406402069  0.0254898856  0.0044195041  0.077468595
## MasVnrType    -0.0721215496 -0.0028326223 -0.0313592778  0.002800609
## MasVnrArea     0.0709718068 -0.0050479780 -0.0496952000  0.095115927
## ExterQual      0.0092927314 -0.0076753367  0.0812643045 -0.197615519
## ExterCond     -0.0140750528 -0.0441616149  0.0152664373  0.118465395
## Foundation    -0.0134023396 -0.0260769775 -0.0005973220  0.194600053
## BsmtQual       0.0267425555  0.0030619628  0.0490607286 -0.217516624
## BsmtCond      -0.0182619994 -0.0055991371 -0.0149182596 -0.002322703
## BsmtExposure  -0.0359908268  0.0067403862  0.0209397864 -0.087609046
## BsmtFinType1  -0.0624102071 -0.0126962533  0.0003130859  0.087387555
## BsmtFinSF1     0.1315673676  0.0121229930 -0.0641544426 -0.010872144
## BsmtFinType2  -0.0446930128 -0.0712494090  0.0166949188  0.083218449
## BsmtFinSF2     0.0398651829  0.0501622450 -0.0115758141 -0.060401087
## BsmtUnfSF     -0.0847996299 -0.0296062502  0.0285221530  0.150029250
## TotalBsmtSF    0.0673001527  0.0032334780 -0.0423315906  0.112700339
## Heating       -0.0254437878 -0.0048287308  0.0036852539 -0.004716655
## HeatingQC     -0.0041196847 -0.0141653693  0.0082350936 -0.132296699
## CentralAir     0.0405334937  0.0156067081 -0.0119109314  0.006715030
## Electrical    -0.0267026294  0.0169437058 -0.0129313188  0.057956488
## X1stFlrSF      0.1079017980  0.1125584115 -0.1483602396  0.103423968
## X2ndFlrSF     -0.0182391813 -0.0061628995  0.0235758956  0.073290531
## LowQualFinSF  -0.0139324111 -0.0046058021  0.0035151162  0.005880031
## GrLivArea      0.0714168330  0.0865420367 -0.1009149868  0.148827547
## BsmtFullBath   0.0820363040  0.0149171549 -0.0466230747  0.015940260
## BsmtHalfBath   0.0509434744  0.1278701390 -0.0579900382 -0.093508831
## FullBath      -0.0237359189  0.0007681818 -0.0022869297  0.220180880
## HalfBath      -0.0004455869 -0.0263447181 -0.0366832516  0.079490436
## BedroomAbvGr  -0.0283738644 -0.0070874540  0.0554959169  0.026131379
## KitchenAbvGr  -0.0614875951 -0.0116691370  0.0089058044  0.075020099
## KitchenQual   -0.0227976797 -0.0069945683  0.0601270119 -0.176514238
## TotRmsAbvGrd   0.0052898130  0.0550185126 -0.0178017239  0.128023153
## Functional    -0.0080745017 -0.1534378824  0.0083746548  0.055863749
## Fireplaces     0.1563429084  0.1059262067 -0.0957441934 -0.005950569
## FireplaceQu    0.0190189300  0.0159276656  0.0177325741 -0.027268425
## GarageType    -0.1145483263 -0.0504112083  0.0334914313 -0.052320282
## GarageYrBlt    0.0510620516  0.0126887444 -0.0116044325 -0.011956773
## GarageFinish  -0.0189494169 -0.0131571434  0.0529908572 -0.129358532
## GarageCars     0.0365489445  0.0433142829 -0.0357082541  0.148846369
## GarageArea     0.0734175814  0.0439358026 -0.0461484803  0.122253559
## GarageQual     0.0129897728  0.0039240793  0.0377457884  0.005869349
## GarageCond     0.0292752016 -0.0024469952  0.0524891721 -0.065921898
## PavedDrive     0.0415734793 -0.0419396370 -0.0148108604 -0.016248234
## WoodDeckSF    -0.0306820120  0.1234092261 -0.0625966718 -0.045918774
## OpenPorchSF    0.0222325354  0.0707953459 -0.0147695057  0.082576799
## EnclosedPorch -0.0485502855  0.1425891178 -0.0281767680 -0.057114494
## X3SsnPorch    -0.0267850572 -0.0050832774  0.0038795220 -0.029103036
## ScreenPorch    1.0000000000 -0.0048972929 -0.0535116787 -0.082674652
## PoolArea      -0.0048972929  1.0000000000 -0.4399669285 -0.114489477
## PoolQC        -0.0535116787 -0.4399669285  1.0000000000  0.011220921
## Fence         -0.0826746518 -0.1144894772  0.0112209213  1.000000000
## MiscFeature   -0.0269538962 -0.0100694177  0.0076849098 -0.057866205
## MiscVal       -0.0125488826 -0.0052788152  0.0040287552  0.003090549
## MoSold         0.0352120861 -0.0557308386  0.0305587085  0.020762372
## YrSold        -0.0234392291 -0.0451848013  0.0191209625 -0.024366514
## SaleType      -0.0171036484  0.0185400552 -0.0141496416 -0.090391446
## SaleCondition -0.0336234713  0.0115245443 -0.0087954523  0.033425663
##                 MiscFeature       MiscVal        MoSold        YrSold
## MSSubClass    -0.0240465196 -0.0458348485  0.0113657710 -0.0083923313
## MSZoning       0.0016050423  0.0056143473 -0.0409124209 -0.0262079780
## LotFrontage    0.0264770049  0.0679225413  0.0086858408 -0.0235050730
## LotArea        0.0623516331  0.1390711220  0.0051519424 -0.0511443449
## Street         0.0113069812  0.0059275984  0.0300073853 -0.0113723806
## Alley          0.0075824628 -0.0140181076 -0.0266551691  0.0066364993
## LotShape       0.0072716762 -0.0611714690  0.0466432958  0.0231967483
## LandContour    0.0091924560 -0.0727825805  0.0100447764 -0.0008084139
## LotConfig      0.0104651007 -0.0229935157  0.0009429756 -0.0046217277
## LandSlope     -0.0454877850 -0.0041933373 -0.0403850223  0.0343873473
## Neighborhood   0.0074981169 -0.0172205090  0.0023364889  0.0297138135
## Condition1    -0.0230651330 -0.0093596010  0.0164658340 -0.0481630363
## Condition2    -0.0219314601 -0.0003866774  0.0344821090  0.0243196292
## BldgType      -0.0495951914 -0.0333718247  0.0265911296  0.0147890018
## HouseStyle     0.0573429770 -0.0014023056  0.0325014334 -0.0200693653
## OverallQual   -0.0661966099  0.0337836230 -0.0087637281 -0.0122905666
## OverallCond    0.0462031920  0.0072362968 -0.0097671164  0.0156486017
## YearBuilt     -0.0524808425  0.0073253488  0.0155985810 -0.0110056047
## YearRemodAdd  -0.0040563521  0.0030112430  0.0117708165  0.0297148949
## RoofStyle     -0.0019262958  0.0640108528  0.0699221699 -0.0160009064
## RoofMatl       0.0191015432  0.0388367360 -0.0038081837 -0.0189563496
## Exterior1st   -0.0295469422 -0.0275713383 -0.0402781261  0.0414116751
## Exterior2nd   -0.0439810882 -0.0377569313 -0.0379515972  0.0004857185
## MasVnrType    -0.0137144529  0.0168114448 -0.0203985235  0.0435477834
## MasVnrArea    -0.0409056034  0.1060858484  0.0015402177 -0.0277216653
## ExterQual      0.0831252069 -0.0343524840 -0.0164102041 -0.0168669681
## ExterCond     -0.0695950437  0.0083674165  0.0474290181 -0.0480741586
## Foundation    -0.0118638184  0.0090087527 -0.0049148369 -0.0158096841
## BsmtQual       0.0626725692 -0.0057867306 -0.0162282709 -0.0020694996
## BsmtCond       0.0061396246  0.0237403177 -0.0009813622  0.0266963147
## BsmtExposure   0.0061725095 -0.0062834155 -0.0162699129  0.0560155316
## BsmtFinType1  -0.0528649536 -0.0456352897 -0.0044071157 -0.0219536022
## BsmtFinSF1     0.0026208304  0.1654110591  0.0139015128  0.0306513706
## BsmtFinType2  -0.0600510943  0.0155616466 -0.0114406821 -0.0226749193
## BsmtFinSF2     0.0489412597 -0.0127886003 -0.0030036284 -0.0117843040
## BsmtUnfSF     -0.0742173800  0.0003998984  0.0097967186 -0.0353484911
## TotalBsmtSF   -0.0509883236  0.1650606151  0.0227294702 -0.0080878773
## Heating        0.0352667999  0.0135133534  0.0065608108  0.0081073093
## HeatingQC      0.0297413553 -0.0039357245  0.0015253630  0.0083846690
## CentralAir     0.0175163822  0.0101180830 -0.0252779543  0.0036109496
## Electrical    -0.0382023188  0.0010348177  0.0413909685  0.0077289798
## X1stFlrSF     -0.0077126224  0.1813868729  0.0480642412 -0.0135655096
## X2ndFlrSF     -0.0004141948 -0.0223701194 -0.0094152834 -0.0100975911
## LowQualFinSF  -0.0141614793 -0.0074240472  0.0464725553  0.0268643165
## GrLivArea     -0.0079676790  0.1286868522  0.0354723610 -0.0174338376
## BsmtFullBath   0.0201211208  0.0094043425  0.0185454481  0.0236134549
## BsmtHalfBath   0.0772351973  0.0698298175  0.0150804615  0.0060100789
## FullBath       0.0036391459 -0.0069364664  0.0373084294  0.0102831397
## HalfBath      -0.0360176261  0.0468935093  0.0063087893  0.0135042135
## BedroomAbvGr   0.0519468377 -0.0053975284  0.0647270842 -0.0051132432
## KitchenAbvGr   0.0197901275 -0.0051863875  0.0441586950  0.0386140528
## KitchenQual    0.0524705259 -0.0421879672 -0.0531210094  0.0088333245
## TotRmsAbvGrd   0.0127512967  0.0940631411  0.0506657105 -0.0316274794
## Functional    -0.1155549485 -0.0047944761 -0.0263857554  0.0431809874
## Fireplaces    -0.0235753496  0.0148017465  0.0165983333  0.0100018648
## FireplaceQu   -0.0242178293 -0.0235624850 -0.0030166452  0.0021848196
## GarageType    -0.0388704952 -0.0354460090  0.0092220540  0.0302265250
## GarageYrBlt   -0.0467208460 -0.0052134767  0.0213910370 -0.0097358694
## GarageFinish  -0.0005364102 -0.0205761598  0.0179543562  0.0151683031
## GarageCars    -0.0662290008  0.0028930759  0.0624872968 -0.0060964683
## GarageArea    -0.0564579843  0.0364303374  0.0540625909  0.0014169693
## GarageQual     0.0052038572  0.0169786825  0.0242829329  0.0314948366
## GarageCond    -0.0160494723  0.0082108051 -0.0135946461  0.0008123687
## PavedDrive     0.0327205527  0.0221919545 -0.0041297999 -0.0049584157
## WoodDeckSF     0.0458952166  0.1088981688  0.0149951811 -0.0228180442
## OpenPorchSF    0.0434238520  0.1504037896 -0.0002549744 -0.0171224450
## EnclosedPorch  0.0272713103  0.0013534162 -0.0125426829  0.0076159856
## X3SsnPorch     0.0462039399 -0.0012420241  0.0224439541  0.0278180494
## ScreenPorch   -0.0269538962 -0.0125488826  0.0352120861 -0.0234392291
## PoolArea      -0.0100694177 -0.0052788152 -0.0557308386 -0.0451848013
## PoolQC         0.0076849098  0.0040287552  0.0305587085  0.0191209625
## Fence         -0.0578662048  0.0030905488  0.0207623716 -0.0243665140
## MiscFeature    1.0000000000  0.1868626185 -0.0109986239  0.0281677739
## MiscVal        0.1868626185  1.0000000000  0.0193694394  0.0118293049
## MoSold        -0.0109986239  0.0193694394  1.0000000000 -0.1639238333
## YrSold         0.0281677739  0.0118293049 -0.1639238333  1.0000000000
## SaleType       0.0379890664  0.0036953083 -0.0193324014  0.0161561746
## SaleCondition -0.0213775565  0.0218976065 -0.0137739544 -0.0371371583
##                   SaleType SaleCondition
## MSSubClass     0.042333587  -0.016307600
## MSZoning       0.010201991  -0.053888615
## LotFrontage   -0.034109427   0.002391205
## LotArea       -0.010517923  -0.006838481
## Street         0.018679966   0.027663015
## Alley          0.014997152   0.077003276
## LotShape      -0.024008570  -0.114542695
## LandContour   -0.029940533   0.042375514
## LotConfig     -0.026534581   0.016671966
## LandSlope      0.040265256  -0.029799304
## Neighborhood   0.009966029   0.036673219
## Condition1    -0.046970161   0.034937578
## Condition2     0.002461760   0.075801428
## BldgType       0.029992744   0.038312401
## HouseStyle     0.092625443   0.077741177
## OverallQual    0.035084330   0.247595535
## OverallCond    0.132392270   0.054076579
## YearBuilt      0.018889508   0.239471895
## YearRemodAdd   0.070557390   0.264467718
## RoofStyle     -0.053237426   0.017370478
## RoofMatl      -0.010308139  -0.049657144
## Exterior1st   -0.006864459   0.121822248
## Exterior2nd    0.020085123   0.091728363
## MasVnrType    -0.074532471  -0.007356381
## MasVnrArea     0.019376255   0.080671698
## ExterQual      0.058781175  -0.200577534
## ExterCond      0.014008604   0.075189237
## Foundation     0.050038423   0.181029889
## BsmtQual       0.006149155  -0.180419853
## BsmtCond       0.043025029   0.088551972
## BsmtExposure  -0.024427917  -0.058388889
## BsmtFinType1  -0.067987497   0.002322191
## BsmtFinSF1     0.045458202   0.022213364
## BsmtFinType2  -0.030390258   0.019340708
## BsmtFinSF2     0.037430074   0.014860937
## BsmtUnfSF     -0.101674035   0.109662429
## TotalBsmtSF   -0.038680187   0.136836496
## Heating        0.027336506  -0.126119102
## HeatingQC     -0.056983062  -0.227005657
## CentralAir     0.049401875   0.208678401
## Electrical    -0.011758529   0.099647680
## X1stFlrSF     -0.022467529   0.083708280
## X2ndFlrSF      0.072004552   0.040820667
## LowQualFinSF  -0.124307493  -0.048948912
## GrLivArea      0.032673498   0.099561103
## BsmtFullBath   0.060084456  -0.006741601
## BsmtHalfBath   0.006801563  -0.007250222
## FullBath       0.030403018   0.143960236
## HalfBath       0.050618909   0.068565313
## BedroomAbvGr   0.043542731  -0.055021556
## KitchenAbvGr   0.009457950  -0.111678331
## KitchenQual   -0.022359939  -0.175208833
## TotRmsAbvGrd   0.017376839   0.030754875
## Functional     0.024383189   0.070781178
## Fireplaces     0.064416688   0.068433632
## FireplaceQu    0.062969577  -0.032882290
## GarageType    -0.039998304  -0.170650560
## GarageYrBlt   -0.014699889   0.160633737
## GarageFinish  -0.040133800  -0.156762131
## GarageCars    -0.008019294   0.204993142
## GarageArea    -0.030462543   0.169674316
## GarageQual     0.003662958   0.117430530
## GarageCond     0.059116198   0.132062147
## PavedDrive     0.066283888   0.105995033
## WoodDeckSF     0.077390564   0.084288433
## OpenPorchSF   -0.019795825   0.051927718
## EnclosedPorch  0.001298338  -0.082904001
## X3SsnPorch     0.006671101   0.034931995
## ScreenPorch   -0.017103648  -0.033623471
## PoolArea       0.018540055   0.011524544
## PoolQC        -0.014149642  -0.008795452
## Fence         -0.090391446   0.033425663
## MiscFeature    0.037989066  -0.021377556
## MiscVal        0.003695308   0.021897607
## MoSold        -0.019332401  -0.013773954
## YrSold         0.016156175  -0.037137158
## SaleType       1.000000000   0.155171497
## SaleCondition  0.155171497   1.000000000
corrplot(cor(testNorm))

cor(trainNorm)
##                 MSSubClass      MSZoning   LotFrontage      LotArea
## MSSubClass     1.000000000  0.0359000602 -0.3567175304 -0.139781082
## MSZoning       0.035900060  1.0000000000 -0.1059606890 -0.034451614
## LotFrontage   -0.356717530 -0.1059606890  1.0000000000  0.304522171
## LotArea       -0.139781082 -0.0344516135  0.3045221707  1.000000000
## Street        -0.024968591  0.0876538539 -0.0373494459 -0.197130939
## Alley          0.099430123 -0.3680858293 -0.0650840345 -0.029675772
## LotShape       0.119289187  0.0618872737 -0.1388767358 -0.165314939
## LandContour   -0.002939699 -0.0178541358 -0.0760796716 -0.149083072
## Utilities     -0.022843836 -0.0011920336 -0.0010268681  0.010123184
## LotConfig      0.075909935 -0.0098950374 -0.1778214639 -0.121161001
## LandSlope     -0.025671508 -0.0220550393  0.0656032279  0.436868012
## Neighborhood  -0.007891905 -0.2333799147  0.0741618903  0.043398009
## Condition1    -0.024761770 -0.0278738156 -0.0093409245  0.023846174
## Condition2    -0.042394766  0.0446060724  0.0025988340  0.022164143
## BldgType       0.746062936  0.0056904708 -0.4080130583 -0.205721077
## HouseStyle     0.397160992 -0.1053147808  0.0305672773 -0.033189646
## OverallQual    0.032627708 -0.1600991774  0.2348122563  0.105805742
## OverallCond   -0.059315817  0.1869511017 -0.0532806682 -0.005636270
## YearBuilt      0.027850137 -0.3089081606  0.1166853924  0.014227652
## YearRemodAdd   0.040581045 -0.1747276614  0.0833480872  0.013788427
## RoofStyle     -0.117816526 -0.0003006728  0.1539992943  0.077054267
## RoofMatl      -0.031336481  0.0051326822  0.0812773799  0.149836950
## Exterior1st   -0.089158548 -0.0085584942  0.0754547853  0.004255678
## Exterior2nd   -0.137228523  0.0069625872  0.0995147634 -0.003929542
## MasVnrType    -0.029850305 -0.0282785178 -0.0176932756 -0.008122289
## MasVnrArea     0.023579298 -0.0627915018  0.1784614938  0.103313439
## ExterQual     -0.017161452  0.2005362446 -0.1841203404 -0.057274591
## ExterCond     -0.003254003 -0.0960413437  0.0483002675  0.015159628
## Foundation     0.058126408 -0.2351739573  0.0984176096 -0.011081342
## BsmtQual      -0.081701771  0.1607782908 -0.1405294864 -0.061494512
## BsmtCond      -0.017904603 -0.0114497589  0.0550319732  0.016715263
## BsmtExposure  -0.060597965  0.0381147092 -0.1246113489 -0.140209105
## BsmtFinType1   0.006437298  0.0263467932 -0.0211463202 -0.057080864
## BsmtFinSF1    -0.069835749 -0.0491277624  0.2143666136  0.214103131
## BsmtFinType2   0.037025406 -0.0340039824 -0.0164584574 -0.056425317
## BsmtFinSF2    -0.065648579  0.0280860342  0.0424632280  0.111169745
## BsmtUnfSF     -0.140759481 -0.0467493655  0.1240982099 -0.002618360
## TotalBsmtSF   -0.238518409 -0.0878340372  0.3634723116  0.260833135
## Heating        0.048009470  0.0568658774 -0.0203247337  0.028158228
## HeatingQC      0.020760130  0.1342792220 -0.0810809006  0.004212446
## CentralAir    -0.101774493 -0.0495227368  0.0673495946  0.049754938
## Electrical     0.051944976 -0.0708177279  0.0595716975  0.043855796
## X1stFlrSF     -0.251758352 -0.0556144720  0.4137725324  0.299474579
## X2ndFlrSF      0.307885721 -0.0514812521  0.0723880208  0.050985948
## LowQualFinSF   0.046473756  0.0115204338  0.0374693108  0.004778970
## GrLivArea      0.074853180 -0.0826153473  0.3680074392  0.263116167
## BsmtFullBath   0.003491026 -0.0185255725  0.0903428654  0.158154531
## BsmtHalfBath  -0.002332535  0.0071928735 -0.0069789943  0.048045571
## FullBath       0.131608222 -0.1982903835  0.1805337932  0.126030627
## HalfBath       0.177354389 -0.1338764206  0.0472216405  0.014259469
## BedroomAbvGr  -0.023438028 -0.0164713556  0.2368400350  0.119689908
## KitchenAbvGr   0.281721040  0.0494339651 -0.0049046705 -0.017783871
## KitchenQual    0.010129055  0.1289760007 -0.1902318841 -0.057018289
## TotRmsAbvGrd   0.040380065 -0.0431999429  0.3205176562  0.190014778
## Functional     0.003711428 -0.0957221087  0.0301135107 -0.022316619
## Fireplaces    -0.045569340 -0.0113491672  0.2332206400  0.271364010
## FireplaceQu    0.050199520 -0.0024913799 -0.0190434309  0.005322767
## GarageType     0.133138395  0.1411416860 -0.2538119492 -0.150161826
## GarageYrBlt   -0.080999346 -0.0739079410  0.0991942666  0.072599533
## GarageFinish  -0.028805699  0.1175593964 -0.1546974273 -0.087669099
## GarageCars    -0.040109793 -0.1570421277  0.2695392541  0.154870740
## GarageArea    -0.098671543 -0.1892504531  0.3235109288  0.180402755
## GarageQual    -0.038571021 -0.1629984917  0.0932497959  0.053079092
## GarageCond    -0.045895033 -0.1027444548  0.0907037418  0.065741360
## PavedDrive    -0.059924939 -0.1003657843  0.0881207220  0.015133907
## WoodDeckSF    -0.012579358 -0.0094765721  0.0755421091  0.171697687
## OpenPorchSF   -0.006100121 -0.1547040298  0.1370135606  0.084773809
## EnclosedPorch -0.012036622  0.1155086463  0.0102872125 -0.018339734
## X3SsnPorch    -0.043824549  0.0003624064  0.0619452278  0.020422830
## ScreenPorch   -0.026030177  0.0190887128  0.0376550774  0.043160378
## PoolArea       0.008282708 -0.0031276685  0.1808185778  0.077672392
## PoolQC        -0.005220777  0.0028823888 -0.1919016560 -0.065167244
## Fence          0.086359590 -0.0612891627 -0.0364205583  0.036030737
## MiscFeature   -0.046881362 -0.0055533863  0.0086770258  0.106135058
## MiscVal       -0.007683291  0.0092931808 -0.0002553644  0.038067692
## MoSold        -0.013584643 -0.0314957764  0.0104506834  0.001204988
## YrSold        -0.021407038 -0.0206275701  0.0063804333 -0.014261407
## SaleType       0.010779416  0.0962911412 -0.0315073422  0.012068054
## SaleCondition -0.024939578  0.0094935141  0.0588569239  0.034169085
## SalePrice     -0.084284135 -0.1668722027  0.3347708531  0.263843354
##                     Street         Alley      LotShape   LandContour
## MSSubClass    -0.024968591  0.0994301234  1.192892e-01 -0.0029396985
## MSZoning       0.087653854 -0.3680858293  6.188727e-02 -0.0178541358
## LotFrontage   -0.037349446 -0.0650840345 -1.388767e-01 -0.0760796716
## LotArea       -0.197130939 -0.0296757719 -1.653149e-01 -0.1490830722
## Street         1.000000000 -0.0015866138 -1.022399e-02  0.1159951723
## Alley         -0.001586614  1.0000000000 -4.192017e-02  0.0232626459
## LotShape      -0.010223991 -0.0419201656  1.000000e+00  0.0854344888
## LandContour    0.115995172  0.0232626459  8.543449e-02  1.0000000000
## Utilities      0.001681767  0.0006466215 -3.610068e-02  0.0082380300
## LotConfig      0.013960299 -0.0081672612  2.211018e-01 -0.0255273536
## LandSlope     -0.179359521  0.0155131802 -9.995092e-02 -0.3742671740
## Neighborhood  -0.012902538  0.0318381954 -2.602994e-02 -0.0020131603
## Condition1    -0.071657455  0.0735963238 -1.150033e-01  0.0248009601
## Condition2     0.002038937  0.0007839498 -4.376767e-02 -0.0161850454
## BldgType      -0.018243035  0.1613749160  1.162622e-01  0.0511427730
## HouseStyle     0.023703662  0.0522036997 -1.040263e-01  0.0752337646
## OverallQual    0.058823187  0.1169049308 -1.904975e-01  0.0289073079
## OverallCond    0.042848399 -0.0982402364  1.369342e-02 -0.0452707112
## YearBuilt      0.021136760  0.2231821469 -2.260616e-01  0.1616223876
## YearRemodAdd   0.065464824  0.1306839209 -1.538251e-01  0.0933741757
## RoofStyle     -0.019731610  0.0121399035  3.182237e-03 -0.0042464495
## RoofMatl       0.008080966  0.0031070459 -7.117442e-02 -0.0202294175
## Exterior1st    0.002505120 -0.0080512983 -2.046296e-02 -0.0118085418
## Exterior2nd    0.006165919 -0.0239919630 -2.795103e-02 -0.0340818421
## MasVnrType     0.010007372 -0.0140287506  7.946347e-03 -0.0760659001
## MasVnrArea     0.017106111  0.0817043001 -1.061826e-01  0.0482637414
## ExterQual      0.049975771 -0.1113243506  1.488179e-01 -0.0036132609
## ExterCond      0.005874069  0.0622800916 -2.949743e-02  0.0098037769
## Foundation     0.035277192  0.1655730106 -1.351240e-01  0.0534778275
## BsmtQual      -0.030590266 -0.0869078553  1.760763e-01 -0.0200628568
## BsmtCond      -0.020903437  0.0439993882 -3.326617e-02  0.0189768926
## BsmtExposure   0.072232275 -0.0263949677  1.469038e-01  0.0439034188
## BsmtFinType1  -0.014746109 -0.0446871703  8.675691e-02 -0.0762478273
## BsmtFinSF1    -0.015642722  0.0382915498 -1.340330e-01 -0.0180969027
## BsmtFinType2   0.058166902  0.0257936964  8.225036e-03 -0.0308335953
## BsmtFinSF2    -0.038486736 -0.0159634469 -3.973837e-02  0.0085946827
## BsmtUnfSF      0.035228753  0.0223549385 -2.166612e-02  0.0206942197
## TotalBsmtSF    0.005067534  0.0564556624 -1.757815e-01  0.0051893992
## Heating        0.007904257 -0.0434712804  7.589350e-02  0.0157459023
## HeatingQC     -0.053994973 -0.0649492427  9.624843e-02 -0.0662762511
## CentralAir     0.069868578  0.1047494905 -1.152559e-01  0.1054097993
## Electrical     0.021323783  0.0760925876 -9.701710e-02  0.0826497173
## X1stFlrSF      0.005949724  0.0239358268 -1.726131e-01 -0.0421032006
## X2ndFlrSF      0.046982588  0.0044835268 -6.020453e-02 -0.0342448303
## LowQualFinSF   0.007724113  0.0368458969  2.062619e-02 -0.0983521322
## GrLivArea      0.044121336  0.0247431599 -1.750935e-01 -0.0685232183
## BsmtFullBath  -0.050524276  0.0255426641 -7.617806e-02  0.0097734642
## BsmtHalfBath   0.015485329 -0.0285411340 -2.682429e-02  0.0190607289
## FullBath       0.046470602  0.0951053718 -1.593896e-01  0.0503633144
## HalfBath       0.027627975  0.0734014504 -1.110717e-01  0.0297270719
## BedroomAbvGr   0.028864970 -0.0578885137 -5.021397e-02 -0.0408505564
## KitchenAbvGr   0.013583399 -0.0321552825  9.252042e-02 -0.0389590237
## KitchenQual   -0.025307463 -0.0427994912  1.221817e-01  0.0308132923
## TotRmsAbvGrd   0.046828430 -0.0529323064 -1.192504e-01 -0.0534576799
## Functional    -0.016443543  0.0188980077 -2.932148e-02  0.0361127139
## Fireplaces    -0.005348117  0.0022021310 -1.942850e-01 -0.0522387705
## FireplaceQu   -0.004347891  0.0018553173 -6.233831e-02  0.0518421904
## GarageType    -0.017098232 -0.0605362844  1.969490e-01 -0.1098066648
## GarageYrBlt    0.032468158  0.0629285531 -8.333165e-02  0.0737646232
## GarageFinish   0.002339239 -0.0647577054  1.896525e-01 -0.0398815501
## GarageCars    -0.020024633  0.0657707974 -1.839057e-01  0.0457691436
## GarageArea    -0.047794293  0.0569433047 -1.606389e-01  0.0476264336
## GarageQual     0.003558508  0.1235446568 -1.184171e-01  0.0418568602
## GarageCond     0.007713361  0.1260916776 -9.629224e-02  0.0434144266
## PavedDrive     0.024521473  0.0978795920 -1.136977e-01  0.1409208481
## WoodDeckSF    -0.017989760 -0.0152837214 -1.669457e-01 -0.0028786783
## OpenPorchSF   -0.005663818  0.0372469390 -7.541156e-02  0.0406761757
## EnclosedPorch  0.023082388 -0.0651476084  7.821316e-02 -0.0587424016
## X3SsnPorch     0.007473427  0.0028734537 -3.645933e-02 -0.0214037059
## ScreenPorch   -0.033160057  0.0036212294 -5.305432e-02  0.0038356218
## PoolArea       0.004412635  0.0016966114 -2.005078e-02 -0.0130984593
## PoolQC        -0.004066585 -0.0015635588  1.815566e-02  0.0007307897
## Fence         -0.029385599  0.0444732205 -4.563252e-02 -0.0437726769
## MiscFeature   -0.160748444 -0.0544283573 -8.089970e-03  0.0116683972
## MiscVal       -0.022733016 -0.0138811639 -4.206134e-02  0.0209119783
## MoSold         0.003690034 -0.0112737291 -3.345461e-02 -0.0115985190
## YrSold        -0.025043235  0.0151759651  3.644862e-02  0.0205069210
## SaleType       0.020978688 -0.0042450535 -6.061319e-05 -0.0219550297
## SaleCondition  0.006063866 -0.0001622650 -3.811847e-02  0.0338092286
## SalePrice      0.041035536  0.0831211205 -2.555799e-01  0.0154532417
##                   Utilities     LotConfig     LandSlope Neighborhood
## MSSubClass    -0.0228438356  7.590993e-02 -0.0256715075 -0.007891905
## MSZoning      -0.0011920336 -9.895037e-03 -0.0220550393 -0.233379915
## LotFrontage   -0.0010268681 -1.778215e-01  0.0656032279  0.074161890
## LotArea        0.0101231839 -1.211610e-01  0.4368680115  0.043398009
## Street         0.0016817668  1.396030e-02 -0.1793595213 -0.012902538
## Alley          0.0006466215 -8.167261e-03  0.0155131802  0.031838195
## LotShape      -0.0361006797  2.211018e-01 -0.0999509182 -0.026029936
## LandContour    0.0082380300 -2.552735e-02 -0.3742671740 -0.002013160
## Utilities      1.0000000000 -3.258930e-02 -0.0059092853  0.048214394
## LotConfig     -0.0325893034  1.000000e+00 -0.0072561179 -0.033270169
## LandSlope     -0.0059092853 -7.256118e-03  1.0000000000 -0.080266188
## Neighborhood   0.0482143941 -3.327017e-02 -0.0802661882  1.000000000
## Condition1    -0.0009500550  2.145658e-02 -0.0167616908 -0.025428347
## Condition2    -0.0008309651  3.386811e-02 -0.0263215415  0.024782373
## BldgType      -0.0107781323  1.072295e-01 -0.0535823578 -0.008734857
## HouseStyle     0.0542833490 -3.294549e-02 -0.0317933384  0.039952273
## OverallQual   -0.0018806812 -3.108629e-02 -0.0664496300  0.163493902
## OverallCond    0.0099940867 -3.078785e-02  0.0103545200 -0.010241882
## YearBuilt     -0.0115046025  1.362880e-02 -0.0736391668  0.054879270
## YearRemodAdd  -0.0340797747 -5.160793e-03 -0.0591045008  0.067419138
## RoofStyle     -0.0128679622 -1.036409e-02 -0.0277393193  0.104201483
## RoofMatl      -0.0032933828 -6.846481e-02  0.1786775504 -0.003396955
## Exterior1st   -0.0296862892  2.331633e-02 -0.0456603002 -0.078005486
## Exterior2nd   -0.0321003840  5.546111e-03 -0.0328782825 -0.093955908
## MasVnrType    -0.0325013464  1.825546e-03  0.0348515559  0.075360901
## MasVnrArea     0.0634517246 -3.164036e-02 -0.0210757199  0.093185994
## ExterQual      0.0173692670 -2.502971e-03  0.0210404654 -0.109628892
## ExterCond      0.0095350110  3.489775e-02  0.0008337098  0.024370119
## Foundation    -0.0143771544 -1.175533e-02 -0.0277815422  0.026748349
## BsmtQual       0.0261217926  1.476997e-02  0.0098117437 -0.102751624
## BsmtCond       0.0085191572  3.009118e-02  0.0081268163  0.025675400
## BsmtExposure   0.0154961826  1.750689e-02 -0.1644033757  0.056674029
## BsmtFinType1  -0.0133765392  1.422060e-02 -0.0602261286 -0.041314632
## BsmtFinSF1    -0.0191001596 -2.380390e-02  0.1138341945  0.095941389
## BsmtFinType2  -0.0128014380 -4.725973e-03 -0.0587136151 -0.026976361
## BsmtFinSF2     0.0499126175 -1.035681e-02  0.0855183847  0.045670494
## BsmtUnfSF     -0.0126386045 -1.141085e-02 -0.1164564937  0.008838735
## TotalBsmtSF   -0.0142333829 -4.004908e-02  0.0324980011  0.125441286
## Heating       -0.0032213653 -2.352763e-05  0.0058564430 -0.014166588
## HeatingQC      0.0069502071 -1.021662e-02  0.0356735323 -0.005542359
## CentralAir     0.0069066561 -3.728844e-03 -0.0108485985  0.034055271
## Electrical    -0.0917276662 -2.535337e-02 -0.0143485241  0.069205417
## X1stFlrSF      0.0122870149 -6.241422e-02  0.0683229050  0.150352511
## X2ndFlrSF     -0.0208175033 -5.155635e-02 -0.0092554110  0.027760840
## LowQualFinSF  -0.0031479480 -4.992090e-03  0.0138878067  0.062132367
## GrLivArea     -0.0085454870 -8.920811e-02  0.0438604673  0.139422713
## BsmtFullBath  -0.0214668011 -1.295062e-02  0.1161645278  0.047703655
## BsmtHalfBath   0.1033804743 -9.926883e-03  0.0702991416 -0.015879614
## FullBath      -0.0268619168 -7.530696e-03 -0.0469357608  0.129667305
## HalfBath      -0.0199393537 -2.580382e-02  0.0007806567  0.049755705
## BedroomAbvGr   0.0042877641 -5.657366e-02 -0.0481964028  0.062334482
## KitchenAbvGr  -0.0055358893 -2.500048e-03 -0.0364674006  0.069565861
## KitchenQual   -0.0107173510 -1.043702e-02 -0.0027350237 -0.100360686
## TotRmsAbvGrd   0.0077693105 -4.924608e-02 -0.0337681609  0.108012489
## Functional     0.0067015356 -2.111908e-02 -0.1068514708  0.030259751
## Fireplaces     0.0157210555 -6.104343e-02  0.1239947384  0.058043565
## FireplaceQu   -0.0243979458 -3.127862e-02  0.0404258141 -0.042354376
## GarageType    -0.0065786448  3.067761e-02  0.0048886839 -0.080933395
## GarageYrBlt    0.0051530478 -3.410847e-02 -0.0141151668  0.078679961
## GarageFinish   0.0027095281  1.504789e-02  0.0150317871 -0.001756693
## GarageCars     0.0081610021 -6.696739e-02 -0.0026834619  0.163090297
## GarageArea     0.0063719565 -6.402327e-02  0.0048255277  0.183114090
## GarageQual     0.0082625108  3.261443e-03  0.0077412018  0.011917183
## GarageCond     0.0077322781  7.175661e-03 -0.0198898165  0.047364020
## PavedDrive     0.0075855652 -4.505839e-02 -0.0245378588  0.027751680
## WoodDeckSF    -0.0196920864 -3.563457e-02  0.0951559367  0.048764390
## OpenPorchSF    0.0281985761 -5.461368e-02 -0.0326215879  0.137089430
## EnclosedPorch -0.0094071846 -7.042898e-02 -0.0088429744  0.042775050
## X3SsnPorch    -0.0030457815 -3.047938e-02  0.0086942445 -0.022268724
## ScreenPorch    0.1023654827 -4.656820e-03  0.0529760430  0.018704520
## PoolArea      -0.0017983612 -4.679777e-02 -0.0155048356 -0.005925841
## PoolQC         0.0016573291  5.478576e-02  0.0142889068 -0.005000611
## Fence          0.0119760466  5.806651e-02  0.0482626899  0.007780649
## MiscFeature   -0.0048688638 -1.582089e-02  0.0513770334 -0.020049575
## MiscVal       -0.0022956812 -1.842748e-02 -0.0035184096  0.001742601
## MoSold        -0.0515516596  1.890225e-02  0.0070716867  0.018733204
## YrSold         0.0233525383 -5.992403e-03 -0.0023046324  0.038822909
## SaleType      -0.1259950116  1.886988e-02  0.0550434800 -0.034391601
## SaleCondition -0.0897006759  5.157902e-02 -0.0430948009  0.010168137
## SalePrice     -0.0143142961 -6.739602e-02  0.0511522482  0.170941316
##                 Condition1    Condition2     BldgType   HouseStyle  OverallQual
## MSSubClass    -0.024761770 -0.0423947656  0.746062936  0.397160992  0.032627708
## MSZoning      -0.027873816  0.0446060724  0.005690471 -0.105314781 -0.160099177
## LotFrontage   -0.009340924  0.0025988340 -0.408013058  0.030567277  0.234812256
## LotArea        0.023846174  0.0221641427 -0.205721077 -0.033189646  0.105805742
## Street        -0.071657455  0.0020389372 -0.018243035  0.023703662  0.058823187
## Alley          0.073596324  0.0007839498  0.161374916  0.052203700  0.116904931
## LotShape      -0.115003260 -0.0437676731  0.116262248 -0.104026324 -0.190497497
## LandContour    0.024800960 -0.0161850454  0.051142773  0.075233765  0.028907308
## Utilities     -0.000950055 -0.0008309651 -0.010778132  0.054283349 -0.001880681
## LotConfig      0.021456584  0.0338681067  0.107229488 -0.032945486 -0.031086289
## LandSlope     -0.016761691 -0.0263215415 -0.053582358 -0.031793338 -0.066449630
## Neighborhood  -0.025428347  0.0247823729 -0.008734857  0.039952273  0.163493902
## Condition1     1.000000000 -0.0742677263 -0.023501465  0.096714219  0.100104552
## Condition2    -0.074267726  1.0000000000  0.009013928 -0.026939963  0.014938565
## BldgType      -0.023501465  0.0090139284  1.000000000  0.066551859  0.049834339
## HouseStyle     0.096714219 -0.0269399626  0.066551859  1.000000000  0.218439822
## OverallQual    0.100104552  0.0149385646  0.049834339  0.218439822  1.000000000
## OverallCond   -0.032242957  0.0144943339 -0.162039524 -0.031329240 -0.091932343
## YearBuilt      0.158305754  0.0288033487  0.217584372  0.270494210  0.572322769
## YearRemodAdd   0.136621717  0.0075116155  0.104855347  0.209973451  0.550683924
## RoofStyle      0.002955732  0.0414372775 -0.054388569 -0.032628876  0.167676628
## RoofMatl       0.009924038 -0.0039928251 -0.038423562  0.045358150  0.074509351
## Exterior1st    0.013145684 -0.0053750741 -0.112111962 -0.036445197  0.161405848
## Exterior2nd    0.003649319 -0.0157509813 -0.142748407 -0.071002698  0.152396313
## MasVnrType     0.002483187 -0.0049446668 -0.028751228 -0.133505955  0.004406963
## MasVnrArea     0.022399180  0.0377365806  0.043147676  0.169143997  0.407219798
## ExterQual     -0.074854507 -0.0285057571 -0.087861729 -0.092609700 -0.634319103
## ExterCond      0.076841014 -0.0209804296  0.085067133  0.067584494  0.138581032
## Foundation     0.074020330 -0.0064423783  0.142892137  0.186050537  0.396185994
## BsmtQual      -0.126114061  0.0151147257 -0.151092261 -0.193118873 -0.599639311
## BsmtCond       0.012639696  0.0326189372  0.014101277  0.034854739  0.106355665
## BsmtExposure  -0.028618923  0.0028979974 -0.039941484 -0.199773347 -0.266569840
## BsmtFinType1  -0.036417294  0.0108116154 -0.064273619 -0.049597316  0.011721090
## BsmtFinSF1     0.030981133  0.0132286686  0.006999582  0.010830628  0.239665966
## BsmtFinType2  -0.026287655 -0.0067066991  0.010178853  0.028407715  0.132429693
## BsmtFinSF2     0.028699695  0.0541162589 -0.017375695 -0.027666231 -0.059118693
## BsmtUnfSF      0.014671694  0.0168630777 -0.050556107 -0.143350329  0.308158927
## TotalBsmtSF    0.057540186  0.0506371854 -0.050032699 -0.143296736  0.537808499
## Heating       -0.023183308 -0.0039055128  0.005548897 -0.075375903 -0.112953629
## HeatingQC     -0.075655447 -0.0174318122 -0.010396088 -0.069915511 -0.425943780
## CentralAir     0.012772002 -0.0237983074  0.018196805  0.075060113  0.272038424
## Electrical     0.080034173  0.0196656104  0.073897561  0.172188669  0.254127346
## X1stFlrSF      0.048172325  0.0399877611 -0.073688022 -0.172351463  0.476223829
## X2ndFlrSF      0.017420764 -0.0002722103 -0.084211921  0.476542540  0.295492879
## LowQualFinSF  -0.051642145 -0.0402215513 -0.030339298 -0.083194130 -0.030429284
## GrLivArea      0.045132967  0.0254705128 -0.126975195  0.261380362  0.593007430
## BsmtFullBath   0.026514166 -0.0005308553  0.051535717  0.037442757  0.111097786
## BsmtHalfBath  -0.058328334 -0.0076513391 -0.003413106  0.041722358 -0.040150158
## FullBath       0.095984542  0.0202637863  0.070757493  0.237818693  0.550599709
## HalfBath       0.060240711  0.0231793973 -0.007587951  0.414705195  0.273458099
## BedroomAbvGr   0.013682407 -0.0142622528 -0.277543011  0.184836417  0.101676356
## KitchenAbvGr  -0.075723935  0.0293138604  0.182926130 -0.004244916 -0.183882235
## KitchenQual   -0.050028412 -0.0384914425 -0.024530610 -0.083380609 -0.555348475
## TotRmsAbvGrd   0.052524163  0.0208144262 -0.198413369  0.245777755  0.427452343
## Functional    -0.014877287  0.0081247949  0.009629773  0.051993060  0.161046946
## Fireplaces     0.005877565 -0.0137748275 -0.089941738  0.102169412  0.396765038
## FireplaceQu    0.008088939 -0.0091830672 -0.023086469  0.155752368 -0.097084002
## GarageType    -0.085455115  0.0344530772  0.007798150 -0.129141939 -0.426428272
## GarageYrBlt    0.085096762  0.0189079979 -0.019698594  0.092400294  0.288984217
## GarageFinish  -0.104190552  0.0010645744 -0.064431643 -0.165541180 -0.408037489
## GarageCars     0.104240149  0.0240565354  0.007402281  0.196760745  0.600670717
## GarageArea     0.075208493  0.0553953919 -0.061421041  0.155481063  0.562021757
## GarageQual     0.102768329 -0.0105899339  0.044016283  0.086531972  0.211801935
## GarageCond     0.061842996  0.0555241668  0.035366819  0.049711946  0.270657834
## PavedDrive     0.105864198 -0.0067879468  0.059390170  0.115580306  0.229392989
## WoodDeckSF     0.045337720  0.0116331112 -0.013074794  0.087598416  0.238923392
## OpenPorchSF    0.085860718  0.0345068150 -0.037159888  0.136451992  0.308818823
## EnclosedPorch -0.079213052  0.0130978139 -0.114726497 -0.065176370 -0.113936859
## X3SsnPorch     0.070610210 -0.0036926388 -0.022844641 -0.026933652  0.030370567
## ScreenPorch    0.011042524 -0.0085764825 -0.028045676 -0.025323469  0.064886360
## PoolArea       0.008742482 -0.0021802937 -0.028279760  0.076630139  0.065165844
## PoolQC        -0.003311455  0.0020093095  0.026061989 -0.059897001 -0.079986540
## Fence          0.046478811  0.0194061874  0.132866384 -0.003069240  0.145442375
## MiscFeature    0.012338566 -0.0414566973 -0.062729678 -0.039391235 -0.086612551
## MiscVal       -0.011453556  0.1268137402 -0.009583173 -0.040903491 -0.031406211
## MoSold        -0.009868314  0.0040486982 -0.025764380  0.025728148  0.070815172
## YrSold        -0.009819076 -0.0214947123  0.002005923 -0.018005097 -0.027346708
## SaleType      -0.006289875  0.0065853275 -0.039173997  0.052026918 -0.053939700
## SaleCondition  0.057746921  0.0450742667 -0.003530339  0.022753439  0.193702553
## SalePrice      0.091154912  0.0075127340 -0.085590608  0.180162623  0.790981601
##                OverallCond    YearBuilt YearRemodAdd     RoofStyle
## MSSubClass    -0.059315817  0.027850137  0.040581045 -0.1178165258
## MSZoning       0.186951102 -0.308908161 -0.174727661 -0.0003006728
## LotFrontage   -0.053280668  0.116685392  0.083348087  0.1539992943
## LotArea       -0.005636270  0.014227652  0.013788427  0.0770542671
## Street         0.042848399  0.021136760  0.065464824 -0.0197316100
## Alley         -0.098240236  0.223182147  0.130683921  0.0121399035
## LotShape       0.013693423 -0.226061588 -0.153825101  0.0031822372
## LandContour   -0.045270711  0.161622388  0.093374176 -0.0042464495
## Utilities      0.009994087 -0.011504603 -0.034079775 -0.0128679622
## LotConfig     -0.030787850  0.013628805 -0.005160793 -0.0103640929
## LandSlope      0.010354520 -0.073639167 -0.059104501 -0.0277393193
## Neighborhood  -0.010241882  0.054879270  0.067419138  0.1042014834
## Condition1    -0.032242957  0.158305754  0.136621717  0.0029557320
## Condition2     0.014494334  0.028803349  0.007511616  0.0414372775
## BldgType      -0.162039524  0.217584372  0.104855347 -0.0543885688
## HouseStyle    -0.031329240  0.270494210  0.209973451 -0.0326288763
## OverallQual   -0.091932343  0.572322769  0.550683924  0.1676766284
## OverallCond    1.000000000 -0.375983196  0.073741498 -0.0100540894
## YearBuilt     -0.375983196  1.000000000  0.592854976  0.0489354735
## YearRemodAdd   0.073741498  0.592854976  1.000000000  0.0277285022
## RoofStyle     -0.010054089  0.048935474  0.027728502  1.0000000000
## RoofMatl       0.027461285 -0.020963444 -0.033260003 -0.0111388022
## Exterior1st   -0.041164726  0.097253113  0.239739693 -0.0359817125
## Exterior2nd   -0.028072239  0.075716256  0.216371864 -0.0657253531
## MasVnrType     0.009669757 -0.059813565  0.060553415 -0.0863703307
## MasVnrArea    -0.125672354  0.311567082  0.176502034  0.2489628440
## ExterQual      0.169185582 -0.494219989 -0.482495612 -0.1931428237
## ExterCond     -0.227406722  0.269449873  0.075976949  0.0264674239
## Foundation    -0.294257952  0.634841943  0.438642742  0.0232384886
## BsmtQual       0.267004197 -0.608569474 -0.509911640 -0.0725874045
## BsmtCond       0.021066304  0.156378342  0.055882192 -0.0025641683
## BsmtExposure   0.062017095 -0.305518653 -0.228447727 -0.0167976902
## BsmtFinType1  -0.062645247 -0.158741947 -0.030840733 -0.0360380137
## BsmtFinSF1    -0.046230856  0.249503197  0.128450547  0.1893681217
## BsmtFinType2  -0.067225774  0.071706560  0.106216957  0.0221436790
## BsmtFinSF2     0.040229170 -0.049106831 -0.067758514  0.0144709370
## BsmtUnfSF     -0.136840570  0.149040392  0.181133087  0.0505415336
## TotalBsmtSF   -0.171097515  0.391452002  0.291065583  0.2531027257
## Heating       -0.090770463 -0.172334114 -0.157474208 -0.0382282844
## HeatingQC      0.052325754 -0.398668369 -0.495664217 -0.0153243722
## CentralAir     0.118969425  0.381830752  0.298878022  0.0132277109
## Electrical     0.062663926  0.338449950  0.344514303  0.0291757380
## X1stFlrSF     -0.144202784  0.281985859  0.240379268  0.2979278294
## X2ndFlrSF      0.028942116  0.010307660  0.140023779 -0.0729391803
## LowQualFinSF   0.025494320 -0.183784344 -0.062419100 -0.0203402509
## GrLivArea     -0.079685865  0.199009714  0.287388520  0.1567065419
## BsmtFullBath  -0.054941515  0.187598550  0.119469879  0.0857679936
## BsmtHalfBath   0.117820915 -0.038161806 -0.012337032  0.0018461815
## FullBath      -0.194149489  0.468270787  0.439046484  0.0231300739
## HalfBath      -0.060769327  0.242655910  0.183330612 -0.0136182235
## BedroomAbvGr   0.012980060 -0.070651217 -0.040580928  0.0231462088
## KitchenAbvGr  -0.087000855 -0.174800246 -0.149597521  0.0041030119
## KitchenQual    0.067983525 -0.359134588 -0.452431076 -0.1171656124
## TotRmsAbvGrd  -0.057583166  0.095589128  0.191739816  0.1458638073
## Functional     0.094040043  0.154367943  0.079903407 -0.0182991758
## Fireplaces    -0.023819978  0.147716399  0.112581318  0.1232597332
## FireplaceQu   -0.017748753  0.029985946 -0.050865290 -0.0573101788
## GarageType     0.142760303 -0.540351804 -0.314810170 -0.0891171215
## GarageYrBlt   -0.006507301  0.272008851  0.146340916  0.0585951138
## GarageFinish   0.181711413 -0.454376199 -0.385413626 -0.1185826106
## GarageCars    -0.185757511  0.537850092  0.420622155  0.1323481995
## GarageArea    -0.151521371  0.478953820  0.371599809  0.1418660891
## GarageQual    -0.081417498  0.384989317  0.170222480  0.0610557344
## GarageCond    -0.023735152  0.336570577  0.189784125  0.0255197530
## PavedDrive    -0.062236087  0.427560641  0.168457024 -0.0046984542
## WoodDeckSF    -0.003333699  0.224880142  0.205725920  0.0791086521
## OpenPorchSF   -0.032588814  0.188685840  0.226297633  0.0059776104
## EnclosedPorch  0.070356184 -0.387267783 -0.193919147 -0.0146726366
## X3SsnPorch     0.025503660  0.031354513  0.045285810  0.0224451801
## ScreenPorch    0.054810529 -0.050364435 -0.038740011  0.0666668203
## PoolArea      -0.001984942  0.004949728  0.005829372  0.0199282255
## PoolQC         0.023986236  0.004754916 -0.014096829 -0.0330572464
## Fence         -0.155289102  0.201083386  0.139732279  0.0110880117
## MiscFeature    0.064373683 -0.074772461 -0.084440894 -0.0164071947
## MiscVal        0.068776806 -0.034383139 -0.010286249  0.0968023120
## MoSold        -0.003510839  0.012398471  0.021490002  0.0097674330
## YrSold         0.043949746 -0.013617680  0.035743247  0.0193846281
## SaleType       0.103360440 -0.053896907  0.019564476 -0.0295767436
## SaleCondition  0.017758290  0.201044263  0.221686587  0.0659457744
## SalePrice     -0.077855894  0.522897333  0.507100967  0.2224052924
##                    RoofMatl   Exterior1st  Exterior2nd    MasVnrType
## MSSubClass    -3.133648e-02 -0.0891585479 -0.137228523 -0.0298503052
## MSZoning       5.132682e-03 -0.0085584942  0.006962587 -0.0282785178
## LotFrontage    8.127738e-02  0.0754547853  0.099514763 -0.0176932756
## LotArea        1.498370e-01  0.0042556779 -0.003929542 -0.0081222885
## Street         8.080966e-03  0.0025051200  0.006165919  0.0100073715
## Alley          3.107046e-03 -0.0080512983 -0.023991963 -0.0140287506
## LotShape      -7.117442e-02 -0.0204629640 -0.027951031  0.0079463473
## LandContour   -2.022942e-02 -0.0118085418 -0.034081842 -0.0760659001
## Utilities     -3.293383e-03 -0.0296862892 -0.032100384 -0.0325013464
## LotConfig     -6.846481e-02  0.0233163265  0.005546111  0.0018255463
## LandSlope      1.786776e-01 -0.0456603002 -0.032878283  0.0348515559
## Neighborhood  -3.396955e-03 -0.0780054860 -0.093955908  0.0753609012
## Condition1     9.924038e-03  0.0131456844  0.003649319  0.0024831868
## Condition2    -3.992825e-03 -0.0053750741 -0.015750981 -0.0049446668
## BldgType      -3.842356e-02 -0.1121119622 -0.142748407 -0.0287512280
## HouseStyle     4.535815e-02 -0.0364451975 -0.071002698 -0.1335059555
## OverallQual    7.450935e-02  0.1614058484  0.152396313  0.0044069625
## OverallCond    2.746128e-02 -0.0411647256 -0.028072239  0.0096697569
## YearBuilt     -2.096344e-02  0.0972531133  0.075716256 -0.0598135647
## YearRemodAdd  -3.326000e-02  0.2397396927  0.216371864  0.0605534153
## RoofStyle     -1.113880e-02 -0.0359817125 -0.065725353 -0.0863703307
## RoofMatl       1.000000e+00 -0.0027591753 -0.013367088 -0.0183557359
## Exterior1st   -2.759175e-03  1.0000000000  0.854162984  0.0306216118
## Exterior2nd   -1.336709e-02  0.8541629837  1.000000000  0.0560594141
## MasVnrType    -1.835574e-02  0.0306216118  0.056059414  1.0000000000
## MasVnrArea     3.528011e-02  0.0235795451  0.001582685 -0.3474418840
## ExterQual     -1.709397e-02 -0.1387475519 -0.114284082 -0.0847542197
## ExterCond     -3.859950e-02  0.0184501418  0.031519646  0.0069311435
## Foundation    -2.790866e-02  0.1229356789  0.117453968  0.0194796167
## BsmtQual      -2.837325e-02 -0.1677848970 -0.151768143 -0.0886117266
## BsmtCond      -2.652808e-02 -0.0111232112 -0.024622442 -0.0483975445
## BsmtExposure  -7.765955e-02 -0.0691341321 -0.046815235 -0.0213793361
## BsmtFinType1  -2.565914e-02  0.1415815537  0.139252835  0.0708916800
## BsmtFinSF1     4.340403e-02 -0.0666037944 -0.079748870 -0.0075740371
## BsmtFinType2  -1.864202e-02  0.0720521618  0.044469442  0.0136440700
## BsmtFinSF2     6.523194e-02 -0.0546838583 -0.036026083 -0.0240726544
## BsmtUnfSF     -4.071083e-03  0.1348248900  0.133048537  0.0259926701
## TotalBsmtSF    6.501126e-02  0.0464440224  0.037849423  0.0094537604
## Heating        2.655027e-05 -0.0661697305 -0.033456781  0.0249400301
## HeatingQC      6.101741e-02 -0.2470542321 -0.235261631 -0.0828671617
## CentralAir     1.464030e-02  0.0307033171  0.014337730 -0.0749740191
## Electrical     1.192521e-02  0.0323853194 -0.019586269 -0.0639771243
## X1stFlrSF      1.503406e-01  0.0051383554  0.017361176 -0.0124586041
## X2ndFlrSF      1.212018e-02  0.0700204974  0.063291593 -0.0524185760
## LowQualFinSF   6.562178e-02  0.0396119885  0.027009863  0.0465391559
## GrLivArea      1.267438e-01  0.0656131445  0.067849347 -0.0484045955
## BsmtFullBath   5.117432e-02 -0.0094643151 -0.013418925  0.0184789423
## BsmtHalfBath   7.508980e-02  0.0004747104 -0.046652015 -0.0749411031
## FullBath       5.902500e-03  0.1161985618  0.114456041 -0.0221191816
## HalfBath       3.385820e-02 -0.0064716818 -0.010357748 -0.1245660775
## BedroomAbvGr  -1.726033e-02 -0.0005758875  0.005279133 -0.0893776400
## KitchenAbvGr  -3.179222e-02 -0.0889883717 -0.054561069  0.0160105321
## KitchenQual   -4.047300e-02 -0.1225993811 -0.111115753 -0.1170882713
## TotRmsAbvGrd   4.718550e-02  0.0666956610  0.068502603 -0.0242466412
## Functional    -2.618646e-02  0.0281424368  0.011528182 -0.0569338407
## Fireplaces     8.618775e-02  0.0072919881  0.017700476 -0.0454928476
## FireplaceQu   -7.489827e-03 -0.0401979741 -0.056123573 -0.1936018729
## GarageType    -3.871184e-02 -0.0187248475 -0.011201871  0.1411234615
## GarageYrBlt    8.616008e-03  0.0305882614  0.028573618 -0.0638822070
## GarageFinish  -2.730130e-02 -0.0772664345 -0.058783049  0.0105050114
## GarageCars     4.227561e-02  0.1245897123  0.123952685 -0.0310680377
## GarageArea     4.756312e-02  0.1014004504  0.095006433 -0.0079371317
## GarageQual    -2.393961e-02  0.0146924621 -0.015368438 -0.0873923344
## GarageCond    -3.125774e-02  0.0392899318  0.024731470 -0.0851216592
## PavedDrive     3.644899e-02 -0.0560351966 -0.041967808 -0.0919226737
## WoodDeckSF     1.205538e-01  0.0457560090  0.028612843 -0.0414944784
## OpenPorchSF    4.943995e-02  0.0800065984  0.076037627  0.0255996298
## EnclosedPorch -2.891769e-02 -0.0232939831 -0.016480406  0.0434323812
## X3SsnPorch    -4.489586e-03 -0.0370863428 -0.017565244 -0.0313558265
## ScreenPorch    1.010134e-01 -0.0469519216 -0.020162218 -0.0304544702
## PoolArea       6.174598e-02 -0.0013663945 -0.017545309  0.0075077821
## PoolQC        -1.642829e-02 -0.0089566682  0.018458901 -0.0007115381
## Fence         -3.541871e-02  0.1000806241  0.084308695  0.0702332335
## MiscFeature   -2.339511e-02 -0.0115728227 -0.017330634 -0.0149786939
## MiscVal       -1.103085e-02 -0.0163379956 -0.014782381  0.0033975877
## MoSold         3.452321e-02 -0.0049620845 -0.017662141  0.0031800623
## YrSold        -2.905696e-02 -0.0401814243 -0.034780649  0.0630665748
## SaleType       1.168617e-02  0.0140414588  0.022229606 -0.0301459562
## SaleCondition -4.547536e-02  0.0625517759  0.068723503  0.0794435689
## SalePrice      1.323831e-01  0.1035510112  0.103765537  0.0182157713
##                  MasVnrArea     ExterQual     ExterCond   Foundation
## MSSubClass     0.0235792979 -0.0171614523 -0.0032540029  0.058126408
## MSZoning      -0.0627915018  0.2005362446 -0.0960413437 -0.235173957
## LotFrontage    0.1784614938 -0.1841203404  0.0483002675  0.098417610
## LotArea        0.1033134390 -0.0572745909  0.0151596283 -0.011081342
## Street         0.0171061114  0.0499757712  0.0058740688  0.035277192
## Alley          0.0817043001 -0.1113243506  0.0622800916  0.165573011
## LotShape      -0.1061826038  0.1488178988 -0.0294974338 -0.135123961
## LandContour    0.0482637414 -0.0036132609  0.0098037769  0.053477827
## Utilities      0.0634517246  0.0173692670  0.0095350110 -0.014377154
## LotConfig     -0.0316403644 -0.0025029709  0.0348977520 -0.011755334
## LandSlope     -0.0210757199  0.0210404654  0.0008337098 -0.027781542
## Neighborhood   0.0931859937 -0.1096288924  0.0243701186  0.026748349
## Condition1     0.0223991796 -0.0748545067  0.0768410138  0.074020330
## Condition2     0.0377365806 -0.0285057571 -0.0209804296 -0.006442378
## BldgType       0.0431476760 -0.0878617290  0.0850671330  0.142892137
## HouseStyle     0.1691439970 -0.0926096996  0.0675844939  0.186050537
## OverallQual    0.4072197979 -0.6343191033  0.1385810318  0.396185994
## OverallCond   -0.1256723538  0.1691855818 -0.2274067223 -0.294257952
## YearBuilt      0.3115670816 -0.4942199893  0.2694498735  0.634841943
## YearRemodAdd   0.1765020335 -0.4824956117  0.0759769485  0.438642742
## RoofStyle      0.2489628440 -0.1931428237  0.0264674239  0.023238489
## RoofMatl       0.0352801105 -0.0170939691 -0.0385995004 -0.027908660
## Exterior1st    0.0235795451 -0.1387475519  0.0184501418  0.122935679
## Exterior2nd    0.0015826851 -0.1142840824  0.0315196459  0.117453968
## MasVnrType    -0.3474418840 -0.0847542197  0.0069311435  0.019479617
## MasVnrArea     1.0000000000 -0.3530533999  0.0696187382  0.174557731
## ExterQual     -0.3530533999  1.0000000000 -0.0580939047 -0.413563390
## ExterCond      0.0696187382 -0.0580939047  1.0000000000  0.155927786
## Foundation     0.1745577311 -0.4135633896  0.1559277861  1.000000000
## BsmtQual      -0.2866026020  0.5723269693 -0.1604950756 -0.476815981
## BsmtCond       0.0793964921 -0.0078870333  0.1990669263  0.011845182
## BsmtExposure  -0.1315119738  0.2274922254 -0.0645221848 -0.149480819
## BsmtFinType1  -0.0784958080 -0.0106152152  0.0009775538 -0.012578821
## BsmtFinSF1     0.2612313571 -0.1945471214  0.0409152212  0.099016305
## BsmtFinType2   0.0617906040 -0.0868034153  0.0182018360  0.049882725
## BsmtFinSF2    -0.0713196327  0.0685625647 -0.0187893928 -0.094327039
## BsmtUnfSF      0.1138580707 -0.2669793178  0.0826702337  0.098072318
## TotalBsmtSF    0.3600412445 -0.4459518382  0.1188941749  0.167035344
## Heating       -0.0483787739  0.0548634607 -0.0313506538 -0.038638179
## HeatingQC     -0.1422891645  0.4324990192 -0.0401547365 -0.348917137
## CentralAir     0.1263984809 -0.0869650830  0.1013084786  0.167948549
## Electrical     0.1108573381 -0.1555376575  0.0154769620  0.189533317
## X1stFlrSF      0.3398251875 -0.3837672362  0.0655505344  0.191519458
## X2ndFlrSF      0.1737963689 -0.1509226556  0.0009055639  0.108799331
## LowQualFinSF  -0.0686231396  0.0007011152 -0.0741108997 -0.089682190
## GrLivArea      0.3880309248 -0.4076415694  0.0421192448  0.222981590
## BsmtFullBath   0.0829896227 -0.1011956027  0.0116565023  0.063495350
## BsmtHalfBath   0.0274094966  0.0565180224 -0.0612714285 -0.064824410
## FullBath       0.2729701561 -0.4128081583  0.0914827167  0.385473769
## HalfBath       0.1990894493 -0.1585002785  0.0985950434  0.140208606
## BedroomAbvGr   0.1027770589  0.0426710727 -0.0252068708 -0.007755002
## KitchenAbvGr  -0.0384602416  0.1044309528 -0.0080005916 -0.008470569
## KitchenQual   -0.2571981375  0.6415836000 -0.0415702511 -0.318527843
## TotRmsAbvGrd   0.2795610242 -0.2892458472  0.0307860222  0.149545341
## Functional     0.0879303219 -0.0488539264  0.0396596631  0.105707518
## Fireplaces     0.2470045343 -0.2222213130  0.0442564014  0.069268291
## FireplaceQu   -0.0278669513  0.1674179391 -0.0151582780 -0.014434058
## GarageType    -0.2135219934  0.2612254305 -0.1482949889 -0.339217939
## GarageYrBlt    0.1326788381 -0.1229940313  0.1299265404  0.142326937
## GarageFinish  -0.2075089038  0.4020852726 -0.0934970370 -0.335692166
## GarageCars     0.3619237423 -0.4499801147  0.1797325175  0.381941059
## GarageArea     0.3708646978 -0.4435323907  0.1380197727  0.333456287
## GarageQual     0.1543748121 -0.1192821873  0.0663733158  0.270435161
## GarageCond     0.1239533215 -0.1381200201  0.0907944960  0.203565903
## PavedDrive     0.1440920745 -0.1067135904  0.1434286400  0.185865338
## WoodDeckSF     0.1599953097 -0.1814484913  0.0224331541  0.140945592
## OpenPorchSF    0.1225037799 -0.2680305147 -0.0069852900  0.158375795
## EnclosedPorch -0.1099063976  0.1199823224 -0.0664883416 -0.207262757
## X3SsnPorch     0.0191469797 -0.0351611667  0.0108084716  0.050383992
## ScreenPorch    0.0622548234 -0.0147199268 -0.0167855518 -0.067287944
## PoolArea       0.0119302698 -0.0341932268 -0.0332602976 -0.001190331
## PoolQC        -0.0005807917  0.0281920643  0.0301958352 -0.012438025
## Fence          0.0808101175 -0.2104699548  0.0902630670  0.148703397
## MiscFeature   -0.0422469181  0.0251817696  0.0098422226 -0.030735757
## MiscVal       -0.0295090759  0.0101656262 -0.0749324567 -0.004628333
## MoSold        -0.0067306960 -0.0247198646  0.0194777495 -0.001891673
## YrSold        -0.0083178313 -0.0362995450 -0.0336187426  0.009057715
## SaleType      -0.0565009623  0.0926564776  0.0103383873  0.013948601
## SaleCondition  0.0866262569 -0.1885708197  0.0542315055  0.140357616
## SalePrice      0.4725850597 -0.6368836944  0.1173026570  0.382478991
##                   BsmtQual     BsmtCond BsmtExposure  BsmtFinType1   BsmtFinSF1
## MSSubClass    -0.081701771 -0.017904603 -0.060597965  0.0064372980 -0.069835749
## MSZoning       0.160778291 -0.011449759  0.038114709  0.0263467932 -0.049127762
## LotFrontage   -0.140529486  0.055031973 -0.124611349 -0.0211463202  0.214366614
## LotArea       -0.061494512  0.016715263 -0.140209105 -0.0570808637  0.214103131
## Street        -0.030590266 -0.020903437  0.072232275 -0.0147461089 -0.015642722
## Alley         -0.086907855  0.043999388 -0.026394968 -0.0446871703  0.038291550
## LotShape       0.176076254 -0.033266170  0.146903775  0.0867569099 -0.134032983
## LandContour   -0.020062857  0.018976893  0.043903419 -0.0762478273 -0.018096903
## Utilities      0.026121793  0.008519157  0.015496183 -0.0133765392 -0.019100160
## LotConfig      0.014769974  0.030091181  0.017506889  0.0142206033 -0.023803899
## LandSlope      0.009811744  0.008126816 -0.164403376 -0.0602261286  0.113834194
## Neighborhood  -0.102751624  0.025675400  0.056674029 -0.0413146319  0.095941389
## Condition1    -0.126114061  0.012639696 -0.028618923 -0.0364172937  0.030981133
## Condition2     0.015114726  0.032618937  0.002897997  0.0108116154  0.013228669
## BldgType      -0.151092261  0.014101277 -0.039941484 -0.0642736187  0.006999582
## HouseStyle    -0.193118873  0.034854739 -0.199773347 -0.0495973161  0.010830628
## OverallQual   -0.599639311  0.106355665 -0.266569840  0.0117210904  0.239665966
## OverallCond    0.267004197  0.021066304  0.062017095 -0.0626452466 -0.046230856
## YearBuilt     -0.608569474  0.156378342 -0.305518653 -0.1587419471  0.249503197
## YearRemodAdd  -0.509911640  0.055882192 -0.228447727 -0.0308407327  0.128450547
## RoofStyle     -0.072587404 -0.002564168 -0.016797690 -0.0360380137  0.189368122
## RoofMatl      -0.028373252 -0.026528084 -0.077659546 -0.0256591416  0.043404027
## Exterior1st   -0.167784897 -0.011123211 -0.069134132  0.1415815537 -0.066603794
## Exterior2nd   -0.151768143 -0.024622442 -0.046815235  0.1392528349 -0.079748870
## MasVnrType    -0.088611727 -0.048397544 -0.021379336  0.0708916800 -0.007574037
## MasVnrArea    -0.286602602  0.079396492 -0.131511974 -0.0784958080  0.261231357
## ExterQual      0.572326969 -0.007887033  0.227492225 -0.0106152152 -0.194547121
## ExterCond     -0.160495076  0.199066926 -0.064522185  0.0009775538  0.040915221
## Foundation    -0.476815981  0.011845182 -0.149480819 -0.0125788207  0.099016305
## BsmtQual       1.000000000 -0.019858233  0.284989801 -0.0118326197 -0.218202349
## BsmtCond      -0.019858233  1.000000000 -0.095396301 -0.0940388696  0.115067694
## BsmtExposure   0.284989801 -0.095396301  1.000000000  0.1903942323 -0.286055801
## BsmtFinType1  -0.011832620 -0.094038870  0.190394232  1.0000000000 -0.575884679
## BsmtFinSF1    -0.218202349  0.115067694 -0.286055801 -0.5758846795  1.000000000
## BsmtFinType2  -0.115181339  0.096606275  0.003963777  0.1311739347  0.048904401
## BsmtFinSF2     0.105032044 -0.008000933 -0.060202203 -0.1467167610 -0.050117400
## BsmtUnfSF     -0.180098428  0.042893374  0.003630274  0.4977361740 -0.495251469
## TotalBsmtSF   -0.369627439  0.159890048 -0.315877593 -0.1513429917  0.522396052
## Heating        0.061016360 -0.116481094  0.088770494  0.0536890926 -0.068653989
## HeatingQC      0.402887829 -0.063981485  0.130855531 -0.0573826346 -0.054051416
## CentralAir    -0.141559922  0.197909501 -0.122788295 -0.1465139789  0.166467792
## Electrical    -0.176297399  0.141200777 -0.144876977 -0.1318667579  0.151809674
## X1stFlrSF     -0.327934104  0.032274477 -0.237557209 -0.1226088703  0.445862656
## X2ndFlrSF     -0.142001072 -0.029929268  0.111758971  0.1815378751 -0.137078986
## LowQualFinSF   0.092401465 -0.064217401  0.056406349  0.0759558472 -0.064502597
## GrLivArea     -0.350669542 -0.007061172 -0.076707116  0.0676344300  0.208171130
## BsmtFullBath  -0.146701052  0.074872775 -0.285185918 -0.4846585277  0.649211754
## BsmtHalfBath   0.051928289 -0.048526499 -0.059261618 -0.1091427946  0.067418478
## FullBath      -0.475645535  0.002418339 -0.083223803  0.0769448352  0.058543137
## HalfBath      -0.169572734  0.089957724  0.045082107  0.0249098050  0.004262424
## BedroomAbvGr   0.096795395 -0.032060358  0.115686844  0.1176393406 -0.107354677
## KitchenAbvGr   0.108803698 -0.088426481  0.117154766  0.1047246483 -0.081006851
## KitchenQual    0.484650144 -0.008506110  0.207601787 -0.0060138258 -0.191252461
## TotRmsAbvGrd  -0.219589647 -0.025963304 -0.009972514  0.1345854928  0.044315624
## Functional    -0.068273703  0.069948067 -0.084892251 -0.0252008573  0.044349798
## Fireplaces    -0.193381792  0.046428742 -0.119205505 -0.1035318739  0.260010920
## FireplaceQu    0.063930807  0.024443571  0.067125451 -0.0516782302 -0.010065174
## GarageType     0.308952525 -0.122827938  0.223862175  0.1873314236 -0.277684813
## GarageYrBlt   -0.155096347  0.080767668 -0.074856852 -0.0741818920  0.115838778
## GarageFinish   0.426190299 -0.051848602  0.201738054  0.0380634928 -0.198918529
## GarageCars    -0.502546607  0.069512038 -0.234867150 -0.0374760337  0.224053522
## GarageArea    -0.443616998  0.077056555 -0.236957211 -0.0673428554  0.296970385
## GarageQual    -0.123451465  0.057910552 -0.093254949 -0.1435741763  0.162756512
## GarageCond    -0.122391321  0.166460432 -0.083250315 -0.1289850027  0.141691606
## PavedDrive    -0.164962696  0.157160587 -0.114666853 -0.2271214147  0.189545386
## WoodDeckSF    -0.235865958  0.030239602 -0.217498129 -0.1184736519  0.204306145
## OpenPorchSF   -0.233495887  0.024519119 -0.065867826 -0.0048683978  0.111760613
## EnclosedPorch  0.176992749 -0.053798976  0.099819523  0.1018559907 -0.102303306
## X3SsnPorch    -0.019881207  0.028994516  0.015151531 -0.0449991095  0.026450506
## ScreenPorch    0.007609411  0.029067353 -0.013220048 -0.0278790162  0.062020623
## PoolArea      -0.020238659  0.022352641 -0.055448609 -0.0352111362  0.140491286
## PoolQC         0.020650950 -0.020599690  0.033571979  0.0409992429 -0.135647150
## Fence         -0.230211696 -0.032217300 -0.063349752  0.0237397452  0.013768025
## MiscFeature    0.060230102  0.002326311  0.037391005 -0.0385735108 -0.007804933
## MiscVal        0.030324948 -0.004257426  0.018229719 -0.0393571182  0.003571473
## MoSold        -0.009038857 -0.022375460 -0.026060703  0.0393522919 -0.015726948
## YrSold         0.025804461  0.068967640  0.059531600 -0.0496591191  0.014358922
## SaleType       0.042876665  0.033673713 -0.003708105 -0.0533582571  0.006861387
## SaleCondition -0.187099275  0.023942152 -0.072671910  0.0036640002  0.032855050
## SalePrice     -0.593733919  0.091503032 -0.309042835 -0.0987343681  0.386419806
##               BsmtFinType2   BsmtFinSF2     BsmtUnfSF   TotalBsmtSF
## MSSubClass     0.037025406 -0.065648579 -0.1407594808 -0.2385184093
## MSZoning      -0.034003982  0.028086034 -0.0467493655 -0.0878340372
## LotFrontage   -0.016458457  0.042463228  0.1240982099  0.3634723116
## LotArea       -0.056425317  0.111169745 -0.0026183600  0.2608331345
## Street         0.058166902 -0.038486736  0.0352287533  0.0050675341
## Alley          0.025793696 -0.015963447  0.0223549385  0.0564556624
## LotShape       0.008225036 -0.039738369 -0.0216661156 -0.1757815299
## LandContour   -0.030833595  0.008594683  0.0206942197  0.0051893992
## Utilities     -0.012801438  0.049912617 -0.0126386045 -0.0142333829
## LotConfig     -0.004725973 -0.010356812 -0.0114108482 -0.0400490766
## LandSlope     -0.058713615  0.085518385 -0.1164564937  0.0324980011
## Neighborhood  -0.026976361  0.045670494  0.0088387349  0.1254412857
## Condition1    -0.026287655  0.028699695  0.0146716940  0.0575401863
## Condition2    -0.006706699  0.054116259  0.0168630777  0.0506371854
## BldgType       0.010178853 -0.017375695 -0.0505561070 -0.0500326990
## HouseStyle     0.028407715 -0.027666231 -0.1433503293 -0.1432967356
## OverallQual    0.132429693 -0.059118693  0.3081589269  0.5378084986
## OverallCond   -0.067225774  0.040229170 -0.1368405699 -0.1710975146
## YearBuilt      0.071706560 -0.049106831  0.1490403920  0.3914520021
## YearRemodAdd   0.106216957 -0.067758514  0.1811330871  0.2910655826
## RoofStyle      0.022143679  0.014470937  0.0505415336  0.2531027257
## RoofMatl      -0.018642021  0.065231936 -0.0040710830  0.0650112584
## Exterior1st    0.072052162 -0.054683858  0.1348248900  0.0464440224
## Exterior2nd    0.044469442 -0.036026083  0.1330485375  0.0378494233
## MasVnrType     0.013644070 -0.024072654  0.0259926701  0.0094537604
## MasVnrArea     0.061790604 -0.071319633  0.1138580707  0.3600412445
## ExterQual     -0.086803415  0.068562565 -0.2669793178 -0.4459518382
## ExterCond      0.018201836 -0.018789393  0.0826702337  0.1188941749
## Foundation     0.049882725 -0.094327039  0.0980723185  0.1670353443
## BsmtQual      -0.115181339  0.105032044 -0.1800984277 -0.3696274395
## BsmtCond       0.096606275 -0.008000933  0.0428933741  0.1598900481
## BsmtExposure   0.003963777 -0.060202203  0.0036302745 -0.3158775929
## BsmtFinType1   0.131173935 -0.146716761  0.4977361740 -0.1513429917
## BsmtFinSF1     0.048904401 -0.050117400 -0.4952514693  0.5223960520
## BsmtFinType2   1.000000000 -0.706303282  0.2598041604  0.0528002374
## BsmtFinSF2    -0.706303282  1.000000000 -0.2092944924  0.1048095376
## BsmtUnfSF      0.259804160 -0.209294492  1.0000000000  0.4153596052
## TotalBsmtSF    0.052800237  0.104809538  0.4153596052  1.0000000000
## Heating       -0.029222848 -0.009157755 -0.0510021220 -0.1261129622
## HeatingQC     -0.113649034  0.095908783 -0.2086712742 -0.2311021718
## CentralAir    -0.005173216  0.039936480  0.0200601431  0.2079575408
## Electrical     0.014854887  0.014455592 -0.0007870805  0.1623510802
## X1stFlrSF     -0.026010010  0.097117448  0.3179874384  0.8195299750
## X2ndFlrSF      0.087556053 -0.099260316  0.0044690921 -0.1745119501
## LowQualFinSF  -0.029261146  0.014806998  0.0281666881 -0.0332453873
## GrLivArea      0.050892078 -0.009639892  0.2402572683  0.4548682025
## BsmtFullBath  -0.108362640  0.158678061 -0.4229004774  0.3073505537
## BsmtHalfBath  -0.074842026  0.070948134 -0.0958042882 -0.0003145818
## FullBath       0.078464503 -0.076443862  0.2888860555  0.3237224136
## HalfBath       0.087250625 -0.032147837 -0.0411175301 -0.0488037386
## BedroomAbvGr   0.005221037 -0.015728114  0.1666433170  0.0504499555
## KitchenAbvGr  -0.025683860 -0.040751236  0.0300858683 -0.0689006426
## KitchenQual   -0.079853351  0.061924826 -0.2048747323 -0.3824152098
## TotRmsAbvGrd   0.038008181 -0.035226548  0.2506470614  0.2855725637
## Functional     0.119923071 -0.101935224  0.0468086922  0.0557708218
## Fireplaces    -0.001197660  0.046920709  0.0515748823  0.3395193239
## FireplaceQu   -0.049929847  0.034912304 -0.1180519906 -0.1165291372
## GarageType     0.005263172 -0.054975804 -0.0848470613 -0.3943678652
## GarageYrBlt   -0.008626184  0.035072260  0.0427150489  0.1763508247
## GarageFinish  -0.066261726  0.042549344 -0.0860020017 -0.2777804780
## GarageCars     0.056193095 -0.038263513  0.2141751898  0.4345848343
## GarageArea     0.025988056 -0.018226592  0.1833026977  0.4866654638
## GarageQual    -0.044444633  0.059271315 -0.0324532127  0.1583170613
## GarageCond     0.003624551  0.023581715  0.0242723714  0.1804277504
## PavedDrive    -0.033024317  0.063940276 -0.0101532612  0.2103455139
## WoodDeckSF    -0.046705747  0.067898326 -0.0053164243  0.2320186091
## OpenPorchSF    0.054160474  0.003092562  0.1290054146  0.2472637463
## EnclosedPorch -0.042907338  0.036543339 -0.0025378546 -0.0954777367
## X3SsnPorch     0.009850656 -0.029993398  0.0207640057  0.0373837273
## ScreenPorch   -0.020915656  0.088871251 -0.0125792734  0.0844889859
## PoolArea      -0.047922439  0.041709055 -0.0350922408  0.1260531321
## PoolQC         0.063406430 -0.049487685  0.0446607476 -0.1142398148
## Fence          0.139350358 -0.114088668  0.1350937965  0.1084289407
## MiscFeature   -0.043386836 -0.013399001 -0.0526965591 -0.0661177301
## MiscVal       -0.014341543  0.004939781 -0.0238366451 -0.0184789224
## MoSold         0.031902111 -0.015210738  0.0348884430  0.0131961786
## YrSold        -0.033994247  0.031705637 -0.0412581949 -0.0149686480
## SaleType      -0.030977411 -0.018881079 -0.0908686981 -0.0913330408
## SaleCondition  0.039735831 -0.059092388  0.0977204938  0.1108530917
## SalePrice      0.072717495 -0.011378121  0.2144791055  0.6135805516
##                     Heating    HeatingQC   CentralAir    Electrical
## MSSubClass     4.800947e-02  0.020760130 -0.101774493  0.0519449759
## MSZoning       5.686588e-02  0.134279222 -0.049522737 -0.0708177279
## LotFrontage   -2.032473e-02 -0.081080901  0.067349595  0.0595716975
## LotArea        2.815823e-02  0.004212446  0.049754938  0.0438557960
## Street         7.904257e-03 -0.053994973  0.069868578  0.0213237828
## Alley         -4.347128e-02 -0.064949243  0.104749490  0.0760925876
## LotShape       7.589350e-02  0.096248433 -0.115255876 -0.0970171032
## LandContour    1.574590e-02 -0.066276251  0.105409799  0.0826497173
## Utilities     -3.221365e-03  0.006950207  0.006906656 -0.0917276662
## LotConfig     -2.352763e-05 -0.010216617 -0.003728844 -0.0253533655
## LandSlope      5.856443e-03  0.035673532 -0.010848599 -0.0143485241
## Neighborhood  -1.416659e-02 -0.005542359  0.034055271  0.0692054172
## Condition1    -2.318331e-02 -0.075655447  0.012772002  0.0800341734
## Condition2    -3.905513e-03 -0.017431812 -0.023798307  0.0196656104
## BldgType       5.548897e-03 -0.010396088  0.018196805  0.0738975605
## HouseStyle    -7.537590e-02 -0.069915511  0.075060113  0.1721886693
## OverallQual   -1.129536e-01 -0.425943780  0.272038424  0.2541273463
## OverallCond   -9.077046e-02  0.052325754  0.118969425  0.0626639256
## YearBuilt     -1.723341e-01 -0.398668369  0.381830752  0.3384499499
## YearRemodAdd  -1.574742e-01 -0.495664217  0.298878022  0.3445143029
## RoofStyle     -3.822828e-02 -0.015324372  0.013227711  0.0291757380
## RoofMatl       2.655027e-05  0.061017406  0.014640300  0.0119252059
## Exterior1st   -6.616973e-02 -0.247054232  0.030703317  0.0323853194
## Exterior2nd   -3.345678e-02 -0.235261631  0.014337730 -0.0195862685
## MasVnrType     2.494003e-02 -0.082867162 -0.074974019 -0.0639771243
## MasVnrArea    -4.837877e-02 -0.142289164  0.126398481  0.1108573381
## ExterQual      5.486346e-02  0.432499019 -0.086965083 -0.1555376575
## ExterCond     -3.135065e-02 -0.040154736  0.101308479  0.0154769620
## Foundation    -3.863818e-02 -0.348917137  0.167948549  0.1895333168
## BsmtQual       6.101636e-02  0.402887829 -0.141559922 -0.1762973987
## BsmtCond      -1.164811e-01 -0.063981485  0.197909501  0.1412007770
## BsmtExposure   8.877049e-02  0.130855531 -0.122788295 -0.1448769769
## BsmtFinType1   5.368909e-02 -0.057382635 -0.146513979 -0.1318667579
## BsmtFinSF1    -6.865399e-02 -0.054051416  0.166467792  0.1518096741
## BsmtFinType2  -2.922285e-02 -0.113649034 -0.005173216  0.0148548870
## BsmtFinSF2    -9.157755e-03  0.095908783  0.039936480  0.0144555923
## BsmtUnfSF     -5.100212e-02 -0.208671274  0.020060143 -0.0007870805
## TotalBsmtSF   -1.261130e-01 -0.231102172  0.207957541  0.1623510802
## Heating        1.000000e+00  0.017979804 -0.409938120 -0.1969539608
## HeatingQC      1.797980e-02  1.000000000 -0.164255737 -0.1428706740
## CentralAir    -4.099381e-01 -0.164255737  1.000000000  0.3112927803
## Electrical    -1.969540e-01 -0.142870674  0.311292780  1.0000000000
## X1stFlrSF     -4.712999e-02 -0.165565100  0.146952612  0.1200619734
## X2ndFlrSF      1.950066e-02 -0.142412595 -0.011802812  0.0513308243
## LowQualFinSF   1.457941e-02  0.022950744 -0.050148642 -0.0443030676
## GrLivArea     -1.712412e-02 -0.237985380  0.093665596  0.1268700062
## BsmtFullBath  -6.061327e-02 -0.060987522  0.114602675  0.1235772839
## BsmtHalfBath  -1.020700e-02  0.037590945  0.040324605  0.0210149418
## FullBath      -3.999008e-03 -0.316937597  0.109326360  0.2108725020
## HalfBath      -5.215072e-02 -0.100243295  0.134637413  0.1330845802
## BedroomAbvGr  -1.685701e-02  0.047323545  0.007871719  0.0471736123
## KitchenAbvGr   1.215449e-01  0.156277002 -0.246797200 -0.1313419564
## KitchenQual    1.676998e-02  0.388232586 -0.049276943 -0.0835338353
## TotRmsAbvGrd  -6.341679e-04 -0.159022230  0.034509353  0.0823322056
## Functional    -4.910471e-02 -0.070771312  0.068578894  0.0477038850
## Fireplaces    -5.219942e-02 -0.122745385  0.186309141  0.1218000046
## FireplaceQu   -1.322126e-02  0.100937199  0.034092901  0.0405848214
## GarageType     1.540854e-01  0.202246769 -0.321685562 -0.2150493472
## GarageYrBlt   -9.840816e-02 -0.108341638  0.265610600  0.1387030194
## GarageFinish   6.145764e-02  0.324996211 -0.118218945 -0.1631495954
## GarageCars    -7.041245e-02 -0.302615640  0.233725864  0.2433507603
## GarageArea    -9.382824e-02 -0.258248830  0.230740797  0.2307092838
## GarageQual    -1.110355e-01 -0.070194771  0.262904393  0.1577157977
## GarageCond    -9.096669e-02 -0.091170962  0.306238495  0.1673511397
## PavedDrive    -1.420632e-01 -0.099136651  0.337516323  0.2130247626
## WoodDeckSF    -7.554251e-02 -0.107106569  0.145972820  0.1530265050
## OpenPorchSF   -2.527244e-02 -0.174534717  0.025857560  0.0911410668
## EnclosedPorch  7.407495e-02  0.093825619 -0.156913165 -0.1399108292
## X3SsnPorch    -1.431509e-02 -0.054349335  0.030691766  0.0063611260
## ScreenPorch    1.986467e-04  0.055805696  0.051206238  0.0054755161
## PoolArea      -8.452247e-03  0.027532993  0.018121746  0.0207726199
## PoolQC         7.789400e-03 -0.011205213 -0.016700593 -0.0191435780
## Fence          9.105760e-03 -0.189117243 -0.020636105  0.0097678718
## MiscFeature   -1.040082e-02  0.031370805 -0.003195846  0.0282061887
## MiscVal       -5.406332e-03  0.019298532 -0.002477906  0.0230794115
## MoSold        -1.379698e-02 -0.001752828  0.009845525 -0.0085918830
## YrSold         1.182997e-02  0.008846283 -0.009419641  0.0346127826
## SaleType       1.337834e-02 -0.015785824 -0.002827951  0.0118824329
## SaleCondition  6.668521e-03 -0.169886356  0.071165830  0.1021793029
## SalePrice     -9.881208e-02 -0.400177543  0.251328164  0.2349449410
##                  X1stFlrSF     X2ndFlrSF  LowQualFinSF    GrLivArea
## MSSubClass    -0.251758352  0.3078857208  0.0464737559  0.074853180
## MSZoning      -0.055614472 -0.0514812521  0.0115204338 -0.082615347
## LotFrontage    0.413772532  0.0723880208  0.0374693108  0.368007439
## LotArea        0.299474579  0.0509859483  0.0047789699  0.263116167
## Street         0.005949724  0.0469825885  0.0077241129  0.044121336
## Alley          0.023935827  0.0044835268  0.0368458969  0.024743160
## LotShape      -0.172613100 -0.0602045301  0.0206261925 -0.175093478
## LandContour   -0.042103201 -0.0342448303 -0.0983521322 -0.068523218
## Utilities      0.012287015 -0.0208175033 -0.0031479480 -0.008545487
## LotConfig     -0.062414216 -0.0515563466 -0.0049920896 -0.089208112
## LandSlope      0.068322905 -0.0092554110  0.0138878067  0.043860467
## Neighborhood   0.150352511  0.0277608401  0.0621323671  0.139422713
## Condition1     0.048172325  0.0174207642 -0.0516421451  0.045132967
## Condition2     0.039987761 -0.0002722103 -0.0402215513  0.025470513
## BldgType      -0.073688022 -0.0842119208 -0.0303392982 -0.126975195
## HouseStyle    -0.172351463  0.4765425405 -0.0831941301  0.261380362
## OverallQual    0.476223829  0.2954928792 -0.0304292840  0.593007430
## OverallCond   -0.144202784  0.0289421160  0.0254943199 -0.079685865
## YearBuilt      0.281985859  0.0103076596 -0.1837843444  0.199009714
## YearRemodAdd   0.240379268  0.1400237788 -0.0624191001  0.287388520
## RoofStyle      0.297927829 -0.0729391803 -0.0203402509  0.156706542
## RoofMatl       0.150340612  0.0121201801  0.0656217774  0.126743787
## Exterior1st    0.005138355  0.0700204974  0.0396119885  0.065613145
## Exterior2nd    0.017361176  0.0632915930  0.0270098635  0.067849347
## MasVnrType    -0.012458604 -0.0524185760  0.0465391559 -0.048404596
## MasVnrArea     0.339825187  0.1737963689 -0.0686231396  0.388030925
## ExterQual     -0.383767236 -0.1509226556  0.0007011152 -0.407641569
## ExterCond      0.065550534  0.0009055639 -0.0741108997  0.042119245
## Foundation     0.191519458  0.1087993307 -0.0896821905  0.222981590
## BsmtQual      -0.327934104 -0.1420010722  0.0924014650 -0.350669542
## BsmtCond       0.032274477 -0.0299292679 -0.0642174009 -0.007061172
## BsmtExposure  -0.237557209  0.1117589713  0.0564063488 -0.076707116
## BsmtFinType1  -0.122608870  0.1815378751  0.0759558472  0.067634430
## BsmtFinSF1     0.445862656 -0.1370789861 -0.0645025969  0.208171130
## BsmtFinType2  -0.026010010  0.0875560530 -0.0292611457  0.050892078
## BsmtFinSF2     0.097117448 -0.0992603160  0.0148069979 -0.009639892
## BsmtUnfSF      0.317987438  0.0044690921  0.0281666881  0.240257268
## TotalBsmtSF    0.819529975 -0.1745119501 -0.0332453873  0.454868203
## Heating       -0.047129991  0.0195006593  0.0145794147 -0.017124118
## HeatingQC     -0.165565100 -0.1424125946  0.0229507439 -0.237985380
## CentralAir     0.146952612 -0.0118028116 -0.0501486423  0.093665596
## Electrical     0.120061973  0.0513308243 -0.0443030676  0.126870006
## X1stFlrSF      1.000000000 -0.2026461810 -0.0142406727  0.566023969
## X2ndFlrSF     -0.202646181  1.0000000000  0.0633529501  0.687501064
## LowQualFinSF  -0.014240673  0.0633529501  1.0000000000  0.134682813
## GrLivArea      0.566023969  0.6875010642  0.1346828130  1.000000000
## BsmtFullBath   0.244671104 -0.1694939517 -0.0471434219  0.034836050
## BsmtHalfBath   0.001955654 -0.0238547839 -0.0058415048 -0.018918483
## FullBath       0.380637495  0.4213779829 -0.0007095096  0.630011646
## HalfBath      -0.119915909  0.6097073003 -0.0270800493  0.415771636
## BedroomAbvGr   0.127400749  0.5029006133  0.1056065685  0.521269511
## KitchenAbvGr   0.068100588  0.0593057526  0.0075217443  0.100063165
## KitchenQual   -0.356741980 -0.1422898071 -0.0106445096 -0.381637826
## TotRmsAbvGrd   0.409515979  0.6164226355  0.1311847760  0.825489374
## Functional    -0.083460137  0.0168593799 -0.0729215175 -0.054142337
## Fireplaces     0.410531085  0.1945608922 -0.0212721434  0.461679134
## FireplaceQu   -0.091130461  0.1058029281 -0.0211903554  0.018888864
## GarageType    -0.383442385  0.0400782783  0.1600892773 -0.233985485
## GarageYrBlt    0.166635811  0.0644000732 -0.1464666852  0.162537301
## GarageFinish  -0.246900533 -0.1198695303  0.0158512800 -0.279752478
## GarageCars     0.439316808  0.1839255831 -0.0944795202  0.467247419
## GarageArea     0.489781654  0.1383469586 -0.0676014132  0.468997477
## GarageQual     0.152072943 -0.0174799931 -0.1047408337  0.087664926
## GarageCond     0.171878740  0.0225704692 -0.0993777925  0.136002813
## PavedDrive     0.163411909 -0.0408837403 -0.0655047317  0.080195350
## WoodDeckSF     0.235458623  0.0921654176 -0.0254436480  0.247432821
## OpenPorchSF    0.211671225  0.2080260632  0.0182510391  0.330223962
## EnclosedPorch -0.065291701  0.0619886908  0.0610812378  0.009113210
## X3SsnPorch     0.056104374 -0.0243576484 -0.0042956104  0.020643190
## ScreenPorch    0.088758073  0.0406064476  0.0267994130  0.101510396
## PoolArea       0.131524976  0.0814868780  0.0621573723  0.170205336
## PoolQC        -0.113227796 -0.1129758535 -0.1102047775 -0.187348851
## Fence          0.064381704  0.0329948033 -0.0453564011  0.070577286
## MiscFeature   -0.044408326 -0.0166557260  0.0255216622 -0.044145264
## MiscVal       -0.021095719  0.0161968746 -0.0037928708 -0.002415640
## MoSold         0.031371560  0.0351644274 -0.0221739606  0.050239681
## YrSold        -0.013603771 -0.0286999139 -0.0289208798 -0.036525820
## SaleType      -0.111471634  0.0538415947  0.0099939931 -0.036355764
## SaleCondition  0.075892560  0.0378510787 -0.0707603465  0.080729216
## SalePrice      0.605852185  0.3193338028 -0.0256061300  0.708624478
##                BsmtFullBath  BsmtHalfBath      FullBath      HalfBath
## MSSubClass     0.0034910258 -0.0023325346  0.1316082224  0.1773543886
## MSZoning      -0.0185255725  0.0071928735 -0.1982903835 -0.1338764206
## LotFrontage    0.0903428654 -0.0069789943  0.1805337932  0.0472216405
## LotArea        0.1581545311  0.0480455709  0.1260306265  0.0142594686
## Street        -0.0505242760  0.0154853291  0.0464706017  0.0276279755
## Alley          0.0255426641 -0.0285411340  0.0951053718  0.0734014504
## LotShape      -0.0761780551 -0.0268242932 -0.1593895883 -0.1110717300
## LandContour    0.0097734642  0.0190607289  0.0503633144  0.0297270719
## Utilities     -0.0214668011  0.1033804743 -0.0268619168 -0.0199393537
## LotConfig     -0.0129506164 -0.0099268834 -0.0075306956 -0.0258038182
## LandSlope      0.1161645278  0.0702991416 -0.0469357608  0.0007806567
## Neighborhood   0.0477036549 -0.0158796144  0.1296673048  0.0497557053
## Condition1     0.0265141657 -0.0583283338  0.0959845424  0.0602407105
## Condition2    -0.0005308553 -0.0076513391  0.0202637863  0.0231793973
## BldgType       0.0515357168 -0.0034131056  0.0707574928 -0.0075879512
## HouseStyle     0.0374427569  0.0417223577  0.2378186926  0.4147051949
## OverallQual    0.1110977861 -0.0401501577  0.5505997094  0.2734580986
## OverallCond   -0.0549415154  0.1178209151 -0.1941494887 -0.0607693268
## YearBuilt      0.1875985500 -0.0381618057  0.4682707872  0.2426559102
## YearRemodAdd   0.1194698791 -0.0123370321  0.4390464839  0.1833306117
## RoofStyle      0.0857679936  0.0018461815  0.0231300739 -0.0136182235
## RoofMatl       0.0511743247  0.0750897962  0.0059024996  0.0338581960
## Exterior1st   -0.0094643151  0.0004747104  0.1161985618 -0.0064716818
## Exterior2nd   -0.0134189249 -0.0466520146  0.1144560411 -0.0103577476
## MasVnrType     0.0184789423 -0.0749411031 -0.0221191816 -0.1245660775
## MasVnrArea     0.0829896227  0.0274094966  0.2729701561  0.1990894493
## ExterQual     -0.1011956027  0.0565180224 -0.4128081583 -0.1585002785
## ExterCond      0.0116565023 -0.0612714285  0.0914827167  0.0985950434
## Foundation     0.0634953503 -0.0648244101  0.3854737689  0.1402086056
## BsmtQual      -0.1467010524  0.0519282895 -0.4756455355 -0.1695727340
## BsmtCond       0.0748727748 -0.0485264986  0.0024183391  0.0899577241
## BsmtExposure  -0.2851859181 -0.0592616183 -0.0832238034  0.0450821075
## BsmtFinType1  -0.4846585277 -0.1091427946  0.0769448352  0.0249098050
## BsmtFinSF1     0.6492117536  0.0674184779  0.0585431369  0.0042624244
## BsmtFinType2  -0.1083626400 -0.0748420256  0.0784645028  0.0872506251
## BsmtFinSF2     0.1586780608  0.0709481337 -0.0764438620 -0.0321478375
## BsmtUnfSF     -0.4229004774 -0.0958042882  0.2888860555 -0.0411175301
## TotalBsmtSF    0.3073505537 -0.0003145818  0.3237224136 -0.0488037386
## Heating       -0.0606132684 -0.0102070033 -0.0039990076 -0.0521507202
## HeatingQC     -0.0609875216  0.0375909446 -0.3169375966 -0.1002432947
## CentralAir     0.1146026747  0.0403246049  0.1093263595  0.1346374127
## Electrical     0.1235772839  0.0210149418  0.2108725020  0.1330845802
## X1stFlrSF      0.2446711042  0.0019556536  0.3806374950 -0.1199159088
## X2ndFlrSF     -0.1694939517 -0.0238547839  0.4213779829  0.6097073003
## LowQualFinSF  -0.0471434219 -0.0058415048 -0.0007095096 -0.0270800493
## GrLivArea      0.0348360495 -0.0189184832  0.6300116463  0.4157716361
## BsmtFullBath   1.0000000000 -0.1478709605 -0.0645120486 -0.0309049591
## BsmtHalfBath  -0.1478709605  1.0000000000 -0.0545358120 -0.0123399001
## FullBath      -0.0645120486 -0.0545358120  1.0000000000  0.1363805887
## HalfBath      -0.0309049591 -0.0123399001  0.1363805887  1.0000000000
## BedroomAbvGr  -0.1506728092  0.0465188484  0.3632519830  0.2266514842
## KitchenAbvGr  -0.0415025464 -0.0379443502  0.1331152142 -0.0682625489
## KitchenQual   -0.1208734728  0.0327237811 -0.3376043182 -0.1377560264
## TotRmsAbvGrd  -0.0532752361 -0.0238363413  0.5547842535  0.3434148575
## Functional     0.0224828770 -0.0174135839  0.0238940762  0.0753115811
## Fireplaces     0.1379277084  0.0289755866  0.2436705031  0.2036485081
## FireplaceQu    0.0209930169  0.0040217259  0.0678480268  0.1038867304
## GarageType    -0.1759809544 -0.0279052796 -0.3009449621 -0.1378017092
## GarageYrBlt    0.0492665180  0.0168132610  0.1374515651  0.1171611345
## GarageFinish  -0.1334964910  0.0369940719 -0.3416976526 -0.1830929361
## GarageCars     0.1318812244 -0.0208910590  0.4696720433  0.2191781522
## GarageArea     0.1791894804 -0.0245355796  0.4056562085  0.1635493640
## GarageQual     0.0985972718  0.0441389650  0.1397201763  0.0811450157
## GarageCond     0.0759732923  0.0354319584  0.1604428589  0.1179694297
## PavedDrive     0.1152285795  0.0409415773  0.1294348142  0.1081477750
## WoodDeckSF     0.1753151901  0.0401612233  0.1877032138  0.1080803027
## OpenPorchSF    0.0673414614 -0.0253237579  0.2599774255  0.1997401475
## EnclosedPorch -0.0499106491 -0.0085553339 -0.1150929635 -0.0953165257
## X3SsnPorch    -0.0001060915  0.0351136309  0.0353530166 -0.0049724884
## ScreenPorch    0.0231477258  0.0321214072 -0.0081060933  0.0724258452
## PoolArea       0.0676155562  0.0200246298  0.0496038256  0.0223814981
## PoolQC        -0.0701296614 -0.0459486326 -0.0676785864 -0.0292788418
## Fence         -0.0383935152 -0.0143224548  0.1786985779  0.0488581025
## MiscFeature    0.0072428215  0.0323183446 -0.0503925074 -0.0427469287
## MiscVal       -0.0230470249 -0.0073665245 -0.0142898450  0.0012901448
## MoSold        -0.0253608943  0.0328727052  0.0558721290 -0.0090498882
## YrSold         0.0670491377 -0.0465238818 -0.0196688407 -0.0102686689
## SaleType       0.0266932568  0.0077142709 -0.0314117784  0.0324287670
## SaleCondition  0.0113861250 -0.0592638897  0.1438636202  0.0721346385
## SalePrice      0.2271222331 -0.0168441543  0.5606637627  0.2841076756
##                BedroomAbvGr KitchenAbvGr  KitchenQual  TotRmsAbvGrd
## MSSubClass    -0.0234380285  0.281721040  0.010129055  0.0403800648
## MSZoning      -0.0164713556  0.049433965  0.128976001 -0.0431999429
## LotFrontage    0.2368400350 -0.004904671 -0.190231884  0.3205176562
## LotArea        0.1196899082 -0.017783871 -0.057018289  0.1900147776
## Street         0.0288649705  0.013583399 -0.025307463  0.0468284301
## Alley         -0.0578885137 -0.032155283 -0.042799491 -0.0529323064
## LotShape      -0.0502139708  0.092520416  0.122181702 -0.1192504212
## LandContour   -0.0408505564 -0.038959024  0.030813292 -0.0534576799
## Utilities      0.0042877641 -0.005535889 -0.010717351  0.0077693105
## LotConfig     -0.0565736629 -0.002500048 -0.010437019 -0.0492460768
## LandSlope     -0.0481964028 -0.036467401 -0.002735024 -0.0337681609
## Neighborhood   0.0623344818  0.069565861 -0.100360686  0.1080124885
## Condition1     0.0136824074 -0.075723935 -0.050028412  0.0525241634
## Condition2    -0.0142622528  0.029313860 -0.038491443  0.0208144262
## BldgType      -0.2775430112  0.182926130 -0.024530610 -0.1984133691
## HouseStyle     0.1848364173 -0.004244916 -0.083380609  0.2457777552
## OverallQual    0.1016763562 -0.183882235 -0.555348475  0.4274523433
## OverallCond    0.0129800601 -0.087000855  0.067983525 -0.0575831661
## YearBuilt     -0.0706512169 -0.174800246 -0.359134588  0.0955891283
## YearRemodAdd  -0.0405809281 -0.149597521 -0.452431076  0.1917398163
## RoofStyle      0.0231462088  0.004103012 -0.117165612  0.1458638073
## RoofMatl      -0.0172603328 -0.031792218 -0.040472998  0.0471855039
## Exterior1st   -0.0005758875 -0.088988372 -0.122599381  0.0666956610
## Exterior2nd    0.0052791334 -0.054561069 -0.111115753  0.0685026035
## MasVnrType    -0.0893776400  0.016010532 -0.117088271 -0.0242466412
## MasVnrArea     0.1027770589 -0.038460242 -0.257198137  0.2795610242
## ExterQual      0.0426710727  0.104430953  0.641583600 -0.2892458472
## ExterCond     -0.0252068708 -0.008000592 -0.041570251  0.0307860222
## Foundation    -0.0077550015 -0.008470569 -0.318527843  0.1495453408
## BsmtQual       0.0967953945  0.108803698  0.484650144 -0.2195896474
## BsmtCond      -0.0320603580 -0.088426481 -0.008506110 -0.0259633038
## BsmtExposure   0.1156868441  0.117154766  0.207601787 -0.0099725143
## BsmtFinType1   0.1176393406  0.104724648 -0.006013826  0.1345854928
## BsmtFinSF1    -0.1073546768 -0.081006851 -0.191252461  0.0443156239
## BsmtFinType2   0.0052210365 -0.025683860 -0.079853351  0.0380081813
## BsmtFinSF2    -0.0157281136 -0.040751236  0.061924826 -0.0352265479
## BsmtUnfSF      0.1666433170  0.030085868 -0.204874732  0.2506470614
## TotalBsmtSF    0.0504499555 -0.068900643 -0.382415210  0.2855725637
## Heating       -0.0168570148  0.121544918  0.016769978 -0.0006341679
## HeatingQC      0.0473235451  0.156277002  0.388232586 -0.1590222301
## CentralAir     0.0078717186 -0.246797200 -0.049276943  0.0345093528
## Electrical     0.0471736123 -0.131341956 -0.083533835  0.0823322056
## X1stFlrSF      0.1274007494  0.068100588 -0.356741980  0.4095159789
## X2ndFlrSF      0.5029006133  0.059305753 -0.142289807  0.6164226355
## LowQualFinSF   0.1056065685  0.007521744 -0.010644510  0.1311847760
## GrLivArea      0.5212695109  0.100063165 -0.381637826  0.8254893743
## BsmtFullBath  -0.1506728092 -0.041502546 -0.120873473 -0.0532752361
## BsmtHalfBath   0.0465188484 -0.037944350  0.032723781 -0.0238363413
## FullBath       0.3632519830  0.133115214 -0.337604318  0.5547842535
## HalfBath       0.2266514842 -0.068262549 -0.137756026  0.3434148575
## BedroomAbvGr   1.0000000000  0.198596758  0.037696110  0.6766199357
## KitchenAbvGr   0.1985967577  1.000000000  0.119526566  0.2560454085
## KitchenQual    0.0376961103  0.119526566  1.000000000 -0.2635428447
## TotRmsAbvGrd   0.6766199357  0.256045409 -0.263542845  1.0000000000
## Functional    -0.0153373975 -0.025254225 -0.069663294 -0.0454036066
## Fireplaces     0.1075696810 -0.123936235 -0.228034654  0.3261144802
## FireplaceQu    0.0669942746  0.016088225  0.206147321 -0.0001009318
## GarageType    -0.0118667976  0.178572285  0.189678625 -0.1333027017
## GarageYrBlt   -0.0098479534 -0.157988740 -0.065137403  0.0956036450
## GarageFinish   0.0070216167  0.094975808  0.352068840 -0.2083544955
## GarageCars     0.0861064377 -0.050633892 -0.365124489  0.3622885708
## GarageArea     0.0652525299 -0.064433047 -0.364861649  0.3378221206
## GarageQual     0.0128118058 -0.144384248 -0.036149988  0.0424000583
## GarageCond    -0.0033624495 -0.127442694 -0.084812762  0.0647030582
## PavedDrive    -0.0322270982 -0.170502321 -0.050970606 -0.0036176300
## WoodDeckSF     0.0468537731 -0.090130273 -0.160471102  0.1659838837
## OpenPorchSF    0.0938095716 -0.070090610 -0.222063200  0.2341915878
## EnclosedPorch  0.0415704345  0.037312385  0.070794467  0.0041512990
## X3SsnPorch    -0.0244777964 -0.024600359 -0.010649494 -0.0066832410
## ScreenPorch    0.0442996911 -0.051613366 -0.026612433  0.0593825996
## PoolArea       0.0707025836 -0.014525116 -0.058821243  0.0837573495
## PoolQC        -0.0760524390  0.013386019  0.066989998 -0.0877169926
## Fence         -0.0431103402  0.050768694 -0.137522219  0.0336343414
## MiscFeature    0.0123954226 -0.005886175  0.061433691 -0.0275363268
## MiscVal        0.0077669720  0.062340724  0.036969847  0.0247628842
## MoSold         0.0465438599  0.026588907 -0.038071660  0.0369070772
## YrSold        -0.0360138928  0.031687207 -0.009706414 -0.0345163543
## SaleType       0.0378769887 -0.013256436  0.038740866 -0.0395090084
## SaleCondition -0.0173577503 -0.066113482 -0.134391067  0.0706597518
## SalePrice      0.1682131543 -0.135907371 -0.589188778  0.5337231556
##                 Functional   Fireplaces   FireplaceQu   GarageType  GarageYrBlt
## MSSubClass     0.003711428 -0.045569340  0.0501995198  0.133138395 -0.080999346
## MSZoning      -0.095722109 -0.011349167 -0.0024913799  0.141141686 -0.073907941
## LotFrontage    0.030113511  0.233220640 -0.0190434309 -0.253811949  0.099194267
## LotArea       -0.022316619  0.271364010  0.0053227665 -0.150161826  0.072599533
## Street        -0.016443543 -0.005348117 -0.0043478913 -0.017098232  0.032468158
## Alley          0.018898008  0.002202131  0.0018553173 -0.060536284  0.062928553
## LotShape      -0.029321478 -0.194285030 -0.0623383123  0.196948992 -0.083331652
## LandContour    0.036112714 -0.052238771  0.0518421904 -0.109806665  0.073764623
## Utilities      0.006701536  0.015721056 -0.0243979458 -0.006578645  0.005153048
## LotConfig     -0.021119083 -0.061043428 -0.0312786206  0.030677611 -0.034108471
## LandSlope     -0.106851471  0.123994738  0.0404258141  0.004888684 -0.014115167
## Neighborhood   0.030259751  0.058043565 -0.0423543759 -0.080933395  0.078679961
## Condition1    -0.014877287  0.005877565  0.0080889393 -0.085455115  0.085096762
## Condition2     0.008124795 -0.013774827 -0.0091830672  0.034453077  0.018907998
## BldgType       0.009629773 -0.089941738 -0.0230864686  0.007798150 -0.019698594
## HouseStyle     0.051993060  0.102169412  0.1557523681 -0.129141939  0.092400294
## OverallQual    0.161046946  0.396765038 -0.0970840023 -0.426428272  0.288984217
## OverallCond    0.094040043 -0.023819978 -0.0177487526  0.142760303 -0.006507301
## YearBuilt      0.154367943  0.147716399  0.0299859459 -0.540351804  0.272008851
## YearRemodAdd   0.079903407  0.112581318 -0.0508652899 -0.314810170  0.146340916
## RoofStyle     -0.018299176  0.123259733 -0.0573101788 -0.089117122  0.058595114
## RoofMatl      -0.026186457  0.086187753 -0.0074898268 -0.038711845  0.008616008
## Exterior1st    0.028142437  0.007291988 -0.0401979741 -0.018724847  0.030588261
## Exterior2nd    0.011528182  0.017700476 -0.0561235727 -0.011201871  0.028573618
## MasVnrType    -0.056933841 -0.045492848 -0.1936018729  0.141123462 -0.063882207
## MasVnrArea     0.087930322  0.247004534 -0.0278669513 -0.213521993  0.132678838
## ExterQual     -0.048853926 -0.222221313  0.1674179391  0.261225430 -0.122994031
## ExterCond      0.039659663  0.044256401 -0.0151582780 -0.148294989  0.129926540
## Foundation     0.105707518  0.069268291 -0.0144340579 -0.339217939  0.142326937
## BsmtQual      -0.068273703 -0.193381792  0.0639308073  0.308952525 -0.155096347
## BsmtCond       0.069948067  0.046428742  0.0244435712 -0.122827938  0.080767668
## BsmtExposure  -0.084892251 -0.119205505  0.0671254514  0.223862175 -0.074856852
## BsmtFinType1  -0.025200857 -0.103531874 -0.0516782302  0.187331424 -0.074181892
## BsmtFinSF1     0.044349798  0.260010920 -0.0100651743 -0.277684813  0.115838778
## BsmtFinType2   0.119923071 -0.001197660 -0.0499298472  0.005263172 -0.008626184
## BsmtFinSF2    -0.101935224  0.046920709  0.0349123041 -0.054975804  0.035072260
## BsmtUnfSF      0.046808692  0.051574882 -0.1180519906 -0.084847061  0.042715049
## TotalBsmtSF    0.055770822  0.339519324 -0.1165291372 -0.394367865  0.176350825
## Heating       -0.049104710 -0.052199421 -0.0132212633  0.154085434 -0.098408159
## HeatingQC     -0.070771312 -0.122745385  0.1009371992  0.202246769 -0.108341638
## CentralAir     0.068578894  0.186309141  0.0340929013 -0.321685562  0.265610600
## Electrical     0.047703885  0.121800005  0.0405848214 -0.215049347  0.138703019
## X1stFlrSF     -0.083460137  0.410531085 -0.0911304609 -0.383442385  0.166635811
## X2ndFlrSF      0.016859380  0.194560892  0.1058029281  0.040078278  0.064400073
## LowQualFinSF  -0.072921517 -0.021272143 -0.0211903554  0.160089277 -0.146466685
## GrLivArea     -0.054142337  0.461679134  0.0188888642 -0.233985485  0.162537301
## BsmtFullBath   0.022482877  0.137927708  0.0209930169 -0.175980954  0.049266518
## BsmtHalfBath  -0.017413584  0.028975587  0.0040217259 -0.027905280  0.016813261
## FullBath       0.023894076  0.243670503  0.0678480268 -0.300944962  0.137451565
## HalfBath       0.075311581  0.203648508  0.1038867304 -0.137801709  0.117161134
## BedroomAbvGr  -0.015337397  0.107569681  0.0669942746 -0.011866798 -0.009847953
## KitchenAbvGr  -0.025254225 -0.123936235  0.0160882247  0.178572285 -0.157988740
## KitchenQual   -0.069663294 -0.228034654  0.2061473213  0.189678625 -0.065137403
## TotRmsAbvGrd  -0.045403607  0.326114480 -0.0001009318 -0.133302702  0.095603645
## Functional     1.000000000 -0.024567064 -0.0778492658 -0.089485601  0.045605929
## Fireplaces    -0.024567064  1.000000000  0.0651415627 -0.309422546  0.186262807
## FireplaceQu   -0.077849266  0.065141563  1.0000000000 -0.075661950  0.008284028
## GarageType    -0.089485601 -0.309422546 -0.0756619499  1.000000000 -0.457178919
## GarageYrBlt    0.045605929  0.186262807  0.0082840275 -0.457178919  1.000000000
## GarageFinish  -0.087552391 -0.228990028 -0.0055270463  0.287826321  0.152900483
## GarageCars     0.086848046  0.300788766 -0.0095772899 -0.445902746  0.597992598
## GarageArea     0.075929395  0.269141238 -0.0403638430 -0.411341182  0.560770931
## GarageQual     0.037532562  0.123954783  0.0217476955 -0.371175080  0.476675201
## GarageCond     0.038581023  0.181601278  0.0390075292 -0.393988219  0.543009581
## PavedDrive     0.046994404  0.140731946  0.0418617377 -0.345565841  0.340212394
## WoodDeckSF    -0.013248734  0.200018796 -0.0013596861 -0.236997685  0.117299078
## OpenPorchSF    0.066679796  0.169405327  0.0410545742 -0.133788358  0.049871170
## EnclosedPorch -0.044125919 -0.024821869 -0.0125262610  0.191853608 -0.076814057
## X3SsnPorch     0.019757326  0.011257239 -0.0092397058 -0.063361238  0.029400560
## ScreenPorch   -0.012167449  0.184530270  0.0152476979 -0.061222351  0.061418033
## PoolArea       0.017583549  0.095073522 -0.0245349516 -0.034733444  0.015858433
## PoolQC        -0.016204602 -0.090908000  0.0214445178  0.018427234 -0.013994884
## Fence          0.085122231  0.021804378 -0.0263538917 -0.032051856  0.005355230
## MiscFeature   -0.061446990  0.005959120  0.0854234623  0.008530227  0.002288194
## MiscVal       -0.019972659  0.001408605  0.0455487132 -0.003675830 -0.006668444
## MoSold         0.031783293  0.046357102 -0.0308779795 -0.003178686  0.019150743
## YrSold        -0.015505773 -0.024095565  0.0077724307  0.008710949 -0.011133802
## SaleType      -0.012321595  0.019015469  0.0841593066  0.041497743 -0.026822269
## SaleCondition  0.022892335  0.105617690 -0.0525967537 -0.138910420  0.136211885
## SalePrice      0.115327917  0.466928837 -0.0971763868 -0.415283068  0.261354242
##               GarageFinish   GarageCars   GarageArea    GarageQual
## MSSubClass    -0.028805699 -0.040109793 -0.098671543 -0.0385710213
## MSZoning       0.117559396 -0.157042128 -0.189250453 -0.1629984917
## LotFrontage   -0.154697427  0.269539254  0.323510929  0.0932497959
## LotArea       -0.087669099  0.154870740  0.180402755  0.0530790924
## Street         0.002339239 -0.020024633 -0.047794293  0.0035585085
## Alley         -0.064757705  0.065770797  0.056943305  0.1235446568
## LotShape       0.189652525 -0.183905655 -0.160638880 -0.1184170889
## LandContour   -0.039881550  0.045769144  0.047626434  0.0418568602
## Utilities      0.002709528  0.008161002  0.006371957  0.0082625108
## LotConfig      0.015047890 -0.066967388 -0.064023272  0.0032614428
## LandSlope      0.015031787 -0.002683462  0.004825528  0.0077412018
## Neighborhood  -0.001756693  0.163090297  0.183114090  0.0119171827
## Condition1    -0.104190552  0.104240149  0.075208493  0.1027683286
## Condition2     0.001064574  0.024056535  0.055395392 -0.0105899339
## BldgType      -0.064431643  0.007402281 -0.061421041  0.0440162833
## HouseStyle    -0.165541180  0.196760745  0.155481063  0.0865319723
## OverallQual   -0.408037489  0.600670717  0.562021757  0.2118019351
## OverallCond    0.181711413 -0.185757511 -0.151521371 -0.0814174984
## YearBuilt     -0.454376199  0.537850092  0.478953820  0.3849893166
## YearRemodAdd  -0.385413626  0.420622155  0.371599809  0.1702224805
## RoofStyle     -0.118582611  0.132348199  0.141866089  0.0610557344
## RoofMatl      -0.027301299  0.042275613  0.047563123 -0.0239396089
## Exterior1st   -0.077266435  0.124589712  0.101400450  0.0146924621
## Exterior2nd   -0.058783049  0.123952685  0.095006433 -0.0153684379
## MasVnrType     0.010505011 -0.031068038 -0.007937132 -0.0873923344
## MasVnrArea    -0.207508904  0.361923742  0.370864698  0.1543748121
## ExterQual      0.402085273 -0.449980115 -0.443532391 -0.1192821873
## ExterCond     -0.093497037  0.179732517  0.138019773  0.0663733158
## Foundation    -0.335692166  0.381941059  0.333456287  0.2704351610
## BsmtQual       0.426190299 -0.502546607 -0.443616998 -0.1234514646
## BsmtCond      -0.051848602  0.069512038  0.077056555  0.0579105521
## BsmtExposure   0.201738054 -0.234867150 -0.236957211 -0.0932549490
## BsmtFinType1   0.038063493 -0.037476034 -0.067342855 -0.1435741763
## BsmtFinSF1    -0.198918529  0.224053522  0.296970385  0.1627565125
## BsmtFinType2  -0.066261726  0.056193095  0.025988056 -0.0444446331
## BsmtFinSF2     0.042549344 -0.038263513 -0.018226592  0.0592713147
## BsmtUnfSF     -0.086002002  0.214175190  0.183302698 -0.0324532127
## TotalBsmtSF   -0.277780478  0.434584834  0.486665464  0.1583170613
## Heating        0.061457638 -0.070412454 -0.093828236 -0.1110354792
## HeatingQC      0.324996211 -0.302615640 -0.258248830 -0.0701947711
## CentralAir    -0.118218945  0.233725864  0.230740797  0.2629043930
## Electrical    -0.163149595  0.243350760  0.230709284  0.1577157977
## X1stFlrSF     -0.246900533  0.439316808  0.489781654  0.1520729425
## X2ndFlrSF     -0.119869530  0.183925583  0.138346959 -0.0174799931
## LowQualFinSF   0.015851280 -0.094479520 -0.067601413 -0.1047408337
## GrLivArea     -0.279752478  0.467247419  0.468997477  0.0876649256
## BsmtFullBath  -0.133496491  0.131881224  0.179189480  0.0985972718
## BsmtHalfBath   0.036994072 -0.020891059 -0.024535580  0.0441389650
## FullBath      -0.341697653  0.469672043  0.405656208  0.1397201763
## HalfBath      -0.183092936  0.219178152  0.163549364  0.0811450157
## BedroomAbvGr   0.007021617  0.086106438  0.065252530  0.0128118058
## KitchenAbvGr   0.094975808 -0.050633892 -0.064433047 -0.1443842480
## KitchenQual    0.352068840 -0.365124489 -0.364861649 -0.0361499877
## TotRmsAbvGrd  -0.208354495  0.362288571  0.337822121  0.0424000583
## Functional    -0.087552391  0.086848046  0.075929395  0.0375325623
## Fireplaces    -0.228990028  0.300788766  0.269141238  0.1239547828
## FireplaceQu   -0.005527046 -0.009577290 -0.040363843  0.0217476955
## GarageType     0.287826321 -0.445902746 -0.411341182 -0.3711750805
## GarageYrBlt    0.152900483  0.597992598  0.560770931  0.4766752005
## GarageFinish   1.000000000 -0.226214153 -0.174235916 -0.0480219912
## GarageCars    -0.226214153  1.000000000  0.882475414  0.3730590583
## GarageArea    -0.174235916  0.882475414  1.000000000  0.3614233844
## GarageQual    -0.048021991  0.373059058  0.361423384  1.0000000000
## GarageCond    -0.009786625  0.390120679  0.377485934  0.6183825956
## PavedDrive    -0.075158564  0.284598386  0.284885031  0.3139640909
## WoodDeckSF    -0.193666832  0.226342138  0.224666307  0.0943063199
## OpenPorchSF   -0.180237238  0.213569446  0.241434672  0.0222752721
## EnclosedPorch  0.156271042 -0.151434160 -0.121776720 -0.1237345786
## X3SsnPorch    -0.002987438  0.035765285  0.035086700 -0.0004793936
## ScreenPorch   -0.003858321  0.050493792  0.051411762 -0.0020893140
## PoolArea      -0.021121547  0.020933531  0.061047272 -0.0203435437
## PoolQC         0.017975330 -0.032770369 -0.067878532 -0.0037196332
## Fence         -0.149852676  0.139430326  0.113860517  0.0133691582
## MiscFeature    0.034704968 -0.050477438 -0.032875534 -0.0478744756
## MiscVal        0.012152160 -0.043080128 -0.027399914 -0.0039127145
## MoSold         0.013816500  0.040521730  0.027973800  0.0198214757
## YrSold        -0.008732797 -0.039116904 -0.027377940  0.0308468238
## SaleType       0.029745906 -0.070355055 -0.093642301 -0.0386097424
## SaleCondition -0.107787848  0.184942741  0.181284212  0.1039128671
## SalePrice     -0.425684254  0.640409197  0.623431439  0.2059628289
##                  GarageCond   PavedDrive   WoodDeckSF  OpenPorchSF
## MSSubClass    -0.0458950325 -0.059924939 -0.012579358 -0.006100121
## MSZoning      -0.1027444548 -0.100365784 -0.009476572 -0.154704030
## LotFrontage    0.0907037418  0.088120722  0.075542109  0.137013561
## LotArea        0.0657413598  0.015133907  0.171697687  0.084773809
## Street         0.0077133605  0.024521473 -0.017989760 -0.005663818
## Alley          0.1260916776  0.097879592 -0.015283721  0.037246939
## LotShape      -0.0962922385 -0.113697667 -0.166945655 -0.075411555
## LandContour    0.0434144266  0.140920848 -0.002878678  0.040676176
## Utilities      0.0077322781  0.007585565 -0.019692086  0.028198576
## LotConfig      0.0071756606 -0.045058394 -0.035634570 -0.054613678
## LandSlope     -0.0198898165 -0.024537859  0.095155937 -0.032621588
## Neighborhood   0.0473640198  0.027751680  0.048764390  0.137089430
## Condition1     0.0618429958  0.105864198  0.045337720  0.085860718
## Condition2     0.0555241668 -0.006787947  0.011633111  0.034506815
## BldgType       0.0353668190  0.059390170 -0.013074794 -0.037159888
## HouseStyle     0.0497119459  0.115580306  0.087598416  0.136451992
## OverallQual    0.2706578344  0.229392989  0.238923392  0.308818823
## OverallCond   -0.0237351518 -0.062236087 -0.003333699 -0.032588814
## YearBuilt      0.3365705774  0.427560641  0.224880142  0.188685840
## YearRemodAdd   0.1897841254  0.168457024  0.205725920  0.226297633
## RoofStyle      0.0255197530 -0.004698454  0.079108652  0.005977610
## RoofMatl      -0.0312577356  0.036448986  0.120553793  0.049439949
## Exterior1st    0.0392899318 -0.056035197  0.045756009  0.080006598
## Exterior2nd    0.0247314701 -0.041967808  0.028612843  0.076037627
## MasVnrType    -0.0851216592 -0.091922674 -0.041494478  0.025599630
## MasVnrArea     0.1239533215  0.144092075  0.159995310  0.122503780
## ExterQual     -0.1381200201 -0.106713590 -0.181448491 -0.268030515
## ExterCond      0.0907944960  0.143428640  0.022433154 -0.006985290
## Foundation     0.2035659031  0.185865338  0.140945592  0.158375795
## BsmtQual      -0.1223913212 -0.164962696 -0.235865958 -0.233495887
## BsmtCond       0.1664604316  0.157160587  0.030239602  0.024519119
## BsmtExposure  -0.0832503154 -0.114666853 -0.217498129 -0.065867826
## BsmtFinType1  -0.1289850027 -0.227121415 -0.118473652 -0.004868398
## BsmtFinSF1     0.1416916055  0.189545386  0.204306145  0.111760613
## BsmtFinType2   0.0036245514 -0.033024317 -0.046705747  0.054160474
## BsmtFinSF2     0.0235817152  0.063940276  0.067898326  0.003092562
## BsmtUnfSF      0.0242723714 -0.010153261 -0.005316424  0.129005415
## TotalBsmtSF    0.1804277504  0.210345514  0.232018609  0.247263746
## Heating       -0.0909666871 -0.142063229 -0.075542514 -0.025272436
## HeatingQC     -0.0911709623 -0.099136651 -0.107106569 -0.174534717
## CentralAir     0.3062384954  0.337516323  0.145972820  0.025857560
## Electrical     0.1673511397  0.213024763  0.153026505  0.091141067
## X1stFlrSF      0.1718787403  0.163411909  0.235458623  0.211671225
## X2ndFlrSF      0.0225704692 -0.040883740  0.092165418  0.208026063
## LowQualFinSF  -0.0993777925 -0.065504732 -0.025443648  0.018251039
## GrLivArea      0.1360028135  0.080195350  0.247432821  0.330223962
## BsmtFullBath   0.0759732923  0.115228580  0.175315190  0.067341461
## BsmtHalfBath   0.0354319584  0.040941577  0.040161223 -0.025323758
## FullBath       0.1604428589  0.129434814  0.187703214  0.259977425
## HalfBath       0.1179694297  0.108147775  0.108080303  0.199740148
## BedroomAbvGr  -0.0033624495 -0.032227098  0.046853773  0.093809572
## KitchenAbvGr  -0.1274426936 -0.170502321 -0.090130273 -0.070090610
## KitchenQual   -0.0848127615 -0.050970606 -0.160471102 -0.222063200
## TotRmsAbvGrd   0.0647030582 -0.003617630  0.165983884  0.234191588
## Functional     0.0385810227  0.046994404 -0.013248734  0.066679796
## Fireplaces     0.1816012785  0.140731946  0.200018796  0.169405327
## FireplaceQu    0.0390075292  0.041861738 -0.001359686  0.041054574
## GarageType    -0.3939882193 -0.345565841 -0.236997685 -0.133788358
## GarageYrBlt    0.5430095808  0.340212394  0.117299078  0.049871170
## GarageFinish  -0.0097866253 -0.075158564 -0.193666832 -0.180237238
## GarageCars     0.3901206791  0.284598386  0.226342138  0.213569446
## GarageArea     0.3774859336  0.284885031  0.224666307  0.241434672
## GarageQual     0.6183825956  0.313964091  0.094306320  0.022275272
## GarageCond     1.0000000000  0.340866131  0.117251497  0.067718926
## PavedDrive     0.3408661310  1.000000000  0.114857252  0.028198661
## WoodDeckSF     0.1172514970  0.114857252  1.000000000  0.058660609
## OpenPorchSF    0.0677189257  0.028198661  0.058660609  1.000000000
## EnclosedPorch -0.1231255719 -0.201696726 -0.125988888 -0.093079318
## X3SsnPorch     0.0180500058  0.020526778 -0.032770634 -0.005842499
## ScreenPorch    0.0750581743  0.050616671 -0.074181351  0.074303944
## PoolArea      -0.0267668505  0.019903074  0.073378207  0.060762111
## PoolQC        -0.0004904944 -0.018342224 -0.031901044 -0.031424448
## Fence          0.0289064110  0.016577693 -0.049331647  0.046945588
## MiscFeature   -0.0276854064  0.016793130  0.033040917  0.004095401
## MiscVal        0.0011999991 -0.044721341 -0.009551228 -0.018583739
## MoSold         0.0121228971  0.017154305  0.021011044  0.071254885
## YrSold         0.0181638370  0.006555754  0.022270451 -0.057619360
## SaleType      -0.0238961678 -0.032704087  0.061444352 -0.014846724
## SaleCondition  0.0873480633  0.071232589  0.058575179  0.061664944
## SalePrice      0.2467052744  0.231356952  0.324413445  0.315856227
##               EnclosedPorch    X3SsnPorch   ScreenPorch     PoolArea
## MSSubClass     -0.012036622 -0.0438245492 -0.0260301767  0.008282708
## MSZoning        0.115508646  0.0003624064  0.0190887128 -0.003127669
## LotFrontage     0.010287213  0.0619452278  0.0376550774  0.180818578
## LotArea        -0.018339734  0.0204228296  0.0431603777  0.077672392
## Street          0.023082388  0.0074734273 -0.0331600574  0.004412635
## Alley          -0.065147608  0.0028734537  0.0036212294  0.001696611
## LotShape        0.078213163 -0.0364593330 -0.0530543202 -0.020050776
## LandContour    -0.058742402 -0.0214037059  0.0038356218 -0.013098459
## Utilities      -0.009407185 -0.0030457815  0.1023654827 -0.001798361
## LotConfig      -0.070428978 -0.0304793825 -0.0046568199 -0.046797766
## LandSlope      -0.008842974  0.0086942445  0.0529760430 -0.015504836
## Neighborhood    0.042775050 -0.0222687235  0.0187045198 -0.005925841
## Condition1     -0.079213052  0.0706102104  0.0110425241  0.008742482
## Condition2      0.013097814 -0.0036926388 -0.0085764825 -0.002180294
## BldgType       -0.114726497 -0.0228446415 -0.0280456757 -0.028279760
## HouseStyle     -0.065176370 -0.0269336517 -0.0253234686  0.076630139
## OverallQual    -0.113936859  0.0303705671  0.0648863605  0.065165844
## OverallCond     0.070356184  0.0255036600  0.0548105288 -0.001984942
## YearBuilt      -0.387267783  0.0313545131 -0.0503644345  0.004949728
## YearRemodAdd   -0.193919147  0.0452858098 -0.0387400107  0.005829372
## RoofStyle      -0.014672637  0.0224451801  0.0666668203  0.019928226
## RoofMatl       -0.028917695 -0.0044895856  0.1010134348  0.061745978
## Exterior1st    -0.023293983 -0.0370863428 -0.0469519216 -0.001366395
## Exterior2nd    -0.016480406 -0.0175652443 -0.0201622177 -0.017545309
## MasVnrType      0.043432381 -0.0313558265 -0.0304544702  0.007507782
## MasVnrArea     -0.109906398  0.0191469797  0.0622548234  0.011930270
## ExterQual       0.119982322 -0.0351611667 -0.0147199268 -0.034193227
## ExterCond      -0.066488342  0.0108084716 -0.0167855518 -0.033260298
## Foundation     -0.207262757  0.0503839921 -0.0672879437 -0.001190331
## BsmtQual        0.176992749 -0.0198812070  0.0076094106 -0.020238659
## BsmtCond       -0.053798976  0.0289945158  0.0290673531  0.022352641
## BsmtExposure    0.099819523  0.0151515313 -0.0132200475 -0.055448609
## BsmtFinType1    0.101855991 -0.0449991095 -0.0278790162 -0.035211136
## BsmtFinSF1     -0.102303306  0.0264505062  0.0620206227  0.140491286
## BsmtFinType2   -0.042907338  0.0098506564 -0.0209156560 -0.047922439
## BsmtFinSF2      0.036543339 -0.0299933980  0.0888712514  0.041709055
## BsmtUnfSF      -0.002537855  0.0207640057 -0.0125792734 -0.035092241
## TotalBsmtSF    -0.095477737  0.0373837273  0.0844889859  0.126053132
## Heating         0.074074952 -0.0143150880  0.0001986467 -0.008452247
## HeatingQC       0.093825619 -0.0543493348  0.0558056958  0.027532993
## CentralAir     -0.156913165  0.0306917655  0.0512062381  0.018121746
## Electrical     -0.139910829  0.0063611260  0.0054755161  0.020772620
## X1stFlrSF      -0.065291701  0.0561043745  0.0887580726  0.131524976
## X2ndFlrSF       0.061988691 -0.0243576484  0.0406064476  0.081486878
## LowQualFinSF    0.061081238 -0.0042956104  0.0267994130  0.062157372
## GrLivArea       0.009113210  0.0206431897  0.1015103957  0.170205336
## BsmtFullBath   -0.049910649 -0.0001060915  0.0231477258  0.067615556
## BsmtHalfBath   -0.008555334  0.0351136309  0.0321214072  0.020024630
## FullBath       -0.115092963  0.0353530166 -0.0081060933  0.049603826
## HalfBath       -0.095316526 -0.0049724884  0.0724258452  0.022381498
## BedroomAbvGr    0.041570435 -0.0244777964  0.0442996911  0.070702584
## KitchenAbvGr    0.037312385 -0.0246003587 -0.0516133661 -0.014525116
## KitchenQual     0.070794467 -0.0106494938 -0.0266124334 -0.058821243
## TotRmsAbvGrd    0.004151299 -0.0066832410  0.0593825996  0.083757350
## Functional     -0.044125919  0.0197573257 -0.0121674487  0.017583549
## Fireplaces     -0.024821869  0.0112572390  0.1845302695  0.095073522
## FireplaceQu    -0.012526261 -0.0092397058  0.0152476979 -0.024534952
## GarageType      0.191853608 -0.0633612377 -0.0612223505 -0.034733444
## GarageYrBlt    -0.076814057  0.0294005601  0.0614180331  0.015858433
## GarageFinish    0.156271042 -0.0029874375 -0.0038583210 -0.021121547
## GarageCars     -0.151434160  0.0357652851  0.0504937919  0.020933531
## GarageArea     -0.121776720  0.0350867002  0.0514117624  0.061047272
## GarageQual     -0.123734579 -0.0004793936 -0.0020893140 -0.020343544
## GarageCond     -0.123125572  0.0180500058  0.0750581743 -0.026766851
## PavedDrive     -0.201696726  0.0205267783  0.0506166707  0.019903074
## WoodDeckSF     -0.125988888 -0.0327706336 -0.0741813512  0.073378207
## OpenPorchSF    -0.093079318 -0.0058424993  0.0743039439  0.060762111
## EnclosedPorch   1.000000000 -0.0373052828 -0.0828642448  0.054202562
## X3SsnPorch     -0.037305283  1.0000000000 -0.0314358470 -0.007991549
## ScreenPorch    -0.082864245 -0.0314358470  1.0000000000  0.051307395
## PoolArea        0.054202562 -0.0079915489  0.0513073945  1.000000000
## PoolQC         -0.109238110  0.0073648312 -0.0597760277 -0.884250302
## Fence          -0.070243732  0.0030468802 -0.0074797329 -0.158309556
## MiscFeature     0.025545490  0.0185741511  0.0631255372  0.058607320
## MiscVal         0.018360600  0.0003539653  0.0319457608  0.029668651
## MoSold         -0.028887266  0.0294737952  0.0232169918 -0.033736640
## YrSold         -0.009915937  0.0186449254  0.0106941060 -0.059688932
## SaleType       -0.020610686 -0.0087278419  0.0051003055  0.011097024
## SaleCondition  -0.098387859  0.0043793033 -0.0200947704 -0.067251260
## SalePrice      -0.128577958  0.0445836653  0.1114465711  0.092403549
##                      PoolQC        Fence  MiscFeature       MiscVal
## MSSubClass    -0.0052207768  0.086359590 -0.046881362 -0.0076832913
## MSZoning       0.0028823888 -0.061289163 -0.005553386  0.0092931808
## LotFrontage   -0.1919016560 -0.036420558  0.008677026 -0.0002553644
## LotArea       -0.0651672444  0.036030737  0.106135058  0.0380676920
## Street        -0.0040665847 -0.029385599 -0.160748444 -0.0227330161
## Alley         -0.0015635588  0.044473220 -0.054428357 -0.0138811639
## LotShape       0.0181556563 -0.045632523 -0.008089970 -0.0420613352
## LandContour    0.0007307897 -0.043772677  0.011668397  0.0209119783
## Utilities      0.0016573291  0.011976047 -0.004868864 -0.0022956812
## LotConfig      0.0547857636  0.058066510 -0.015820889 -0.0184274827
## LandSlope      0.0142889068  0.048262690  0.051377033 -0.0035184096
## Neighborhood  -0.0050006107  0.007780649 -0.020049575  0.0017426007
## Condition1    -0.0033114550  0.046478811  0.012338566 -0.0114535563
## Condition2     0.0020093095  0.019406187 -0.041456697  0.1268137402
## BldgType       0.0260619890  0.132866384 -0.062729678 -0.0095831728
## HouseStyle    -0.0598970011 -0.003069240 -0.039391235 -0.0409034913
## OverallQual   -0.0799865404  0.145442375 -0.086612551 -0.0314062105
## OverallCond    0.0239862362 -0.155289102  0.064373683  0.0687768061
## YearBuilt      0.0047549155  0.201083386 -0.074772461 -0.0343831387
## YearRemodAdd  -0.0140968295  0.139732279 -0.084440894 -0.0102862488
## RoofStyle     -0.0330572464  0.011088012 -0.016407195  0.0968023120
## RoofMatl      -0.0164282854 -0.035418706 -0.023395112 -0.0110308528
## Exterior1st   -0.0089566682  0.100080624 -0.011572823 -0.0163379956
## Exterior2nd    0.0184589014  0.084308695 -0.017330634 -0.0147823813
## MasVnrType    -0.0007115381  0.070233234 -0.014978694  0.0033975877
## MasVnrArea    -0.0005807917  0.080810118 -0.042246918 -0.0295090759
## ExterQual      0.0281920643 -0.210469955  0.025181770  0.0101656262
## ExterCond      0.0301958352  0.090263067  0.009842223 -0.0749324567
## Foundation    -0.0124380249  0.148703397 -0.030735757 -0.0046283326
## BsmtQual       0.0206509503 -0.230211696  0.060230102  0.0303249480
## BsmtCond      -0.0205996897 -0.032217300  0.002326311 -0.0042574262
## BsmtExposure   0.0335719786 -0.063349752  0.037391005  0.0182297194
## BsmtFinType1   0.0409992429  0.023739745 -0.038573511 -0.0393571182
## BsmtFinSF1    -0.1356471500  0.013768025 -0.007804933  0.0035714735
## BsmtFinType2   0.0634064302  0.139350358 -0.043386836 -0.0143415428
## BsmtFinSF2    -0.0494876854 -0.114088668 -0.013399001  0.0049397812
## BsmtUnfSF      0.0446607476  0.135093796 -0.052696559 -0.0238366451
## TotalBsmtSF   -0.1142398148  0.108428941 -0.066117730 -0.0184789224
## Heating        0.0077894004  0.009105760 -0.010400824 -0.0054063325
## HeatingQC     -0.0112052125 -0.189117243  0.031370805  0.0192985315
## CentralAir    -0.0167005925 -0.020636105 -0.003195846 -0.0024779063
## Electrical    -0.0191435780  0.009767872  0.028206189  0.0230794115
## X1stFlrSF     -0.1132277962  0.064381704 -0.044408326 -0.0210957195
## X2ndFlrSF     -0.1129758535  0.032994803 -0.016655726  0.0161968746
## LowQualFinSF  -0.1102047775 -0.045356401  0.025521662 -0.0037928708
## GrLivArea     -0.1873488511  0.070577286 -0.044145264 -0.0024156396
## BsmtFullBath  -0.0701296614 -0.038393515  0.007242821 -0.0230470249
## BsmtHalfBath  -0.0459486326 -0.014322455  0.032318345 -0.0073665245
## FullBath      -0.0676785864  0.178698578 -0.050392507 -0.0142898450
## HalfBath      -0.0292788418  0.048858103 -0.042746929  0.0012901448
## BedroomAbvGr  -0.0760524390 -0.043110340  0.012395423  0.0077669720
## KitchenAbvGr   0.0133860193  0.050768694 -0.005886175  0.0623407240
## KitchenQual    0.0669899979 -0.137522219  0.061433691  0.0369698472
## TotRmsAbvGrd  -0.0877169926  0.033634341 -0.027536327  0.0247628842
## Functional    -0.0162046023  0.085122231 -0.061446990 -0.0199726586
## Fireplaces    -0.0909080002  0.021804378  0.005959120  0.0014086054
## FireplaceQu    0.0214445178 -0.026353892  0.085423462  0.0455487132
## GarageType     0.0184272337 -0.032051856  0.008530227 -0.0036758301
## GarageYrBlt   -0.0139948838  0.005355230  0.002288194 -0.0066684436
## GarageFinish   0.0179753301 -0.149852676  0.034704968  0.0121521602
## GarageCars    -0.0327703690  0.139430326 -0.050477438 -0.0430801281
## GarageArea    -0.0678785323  0.113860517 -0.032875534 -0.0273999144
## GarageQual    -0.0037196332  0.013369158 -0.047874476 -0.0039127145
## GarageCond    -0.0004904944  0.028906411 -0.027685406  0.0011999991
## PavedDrive    -0.0183422242  0.016577693  0.016793130 -0.0447213415
## WoodDeckSF    -0.0319010444 -0.049331647  0.033040917 -0.0095512282
## OpenPorchSF   -0.0314244481  0.046945588  0.004095401 -0.0185837390
## EnclosedPorch -0.1092381103 -0.070243732  0.025545490  0.0183606001
## X3SsnPorch     0.0073648312  0.003046880  0.018574151  0.0003539653
## ScreenPorch   -0.0597760277 -0.007479733  0.063125537  0.0319457608
## PoolArea      -0.8842503024 -0.158309556  0.058607320  0.0296686509
## PoolQC         1.0000000000  0.141976927 -0.066774140 -0.0337236043
## Fence          0.1419769271  1.000000000 -0.125842934 -0.0255497881
## MiscFeature   -0.0667741398 -0.125842934  1.000000000  0.1845063408
## MiscVal       -0.0337236043 -0.025549788  0.184506341  1.0000000000
## MoSold         0.0363682551 -0.009891608  0.013957241 -0.0064945502
## YrSold         0.0609040477 -0.035366042  0.057708499  0.0049062625
## SaleType      -0.0136543153 -0.011988828 -0.007633116  0.0146726151
## SaleCondition  0.0974254720  0.100675352 -0.008073855  0.0130273915
## SalePrice     -0.1260697386  0.140640344 -0.066316149 -0.0211895796
##                     MoSold       YrSold      SaleType SaleCondition
## MSSubClass    -0.013584643 -0.021407038  1.077942e-02  -0.024939578
## MSZoning      -0.031495776 -0.020627570  9.629114e-02   0.009493514
## LotFrontage    0.010450683  0.006380433 -3.150734e-02   0.058856924
## LotArea        0.001204988 -0.014261407  1.206805e-02   0.034169085
## Street         0.003690034 -0.025043235  2.097869e-02   0.006063866
## Alley         -0.011273729  0.015175965 -4.245054e-03  -0.000162265
## LotShape      -0.033454605  0.036448622 -6.061319e-05  -0.038118472
## LandContour   -0.011598519  0.020506921 -2.195503e-02   0.033809229
## Utilities     -0.051551660  0.023352538 -1.259950e-01  -0.089700676
## LotConfig      0.018902253 -0.005992403  1.886988e-02   0.051579019
## LandSlope      0.007071687 -0.002304632  5.504348e-02  -0.043094801
## Neighborhood   0.018733204  0.038822909 -3.439160e-02   0.010168137
## Condition1    -0.009868314 -0.009819076 -6.289875e-03   0.057746921
## Condition2     0.004048698 -0.021494712  6.585328e-03   0.045074267
## BldgType      -0.025764380  0.002005923 -3.917400e-02  -0.003530339
## HouseStyle     0.025728148 -0.018005097  5.202692e-02   0.022753439
## OverallQual    0.070815172 -0.027346708 -5.393970e-02   0.193702553
## OverallCond   -0.003510839  0.043949746  1.033604e-01   0.017758290
## YearBuilt      0.012398471 -0.013617680 -5.389691e-02   0.201044263
## YearRemodAdd   0.021490002  0.035743247  1.956448e-02   0.221686587
## RoofStyle      0.009767433  0.019384628 -2.957674e-02   0.065945774
## RoofMatl       0.034523207 -0.029056958  1.168617e-02  -0.045475355
## Exterior1st   -0.004962085 -0.040181424  1.404146e-02   0.062551776
## Exterior2nd   -0.017662141 -0.034780649  2.222961e-02   0.068723503
## MasVnrType     0.003180062  0.063066575 -3.014596e-02   0.079443569
## MasVnrArea    -0.006730696 -0.008317831 -5.650096e-02   0.086626257
## ExterQual     -0.024719865 -0.036299545  9.265648e-02  -0.188570820
## ExterCond      0.019477749 -0.033618743  1.033839e-02   0.054231506
## Foundation    -0.001891673  0.009057715  1.394860e-02   0.140357616
## BsmtQual      -0.009038857  0.025804461  4.287666e-02  -0.187099275
## BsmtCond      -0.022375460  0.068967640  3.367371e-02   0.023942152
## BsmtExposure  -0.026060703  0.059531600 -3.708105e-03  -0.072671910
## BsmtFinType1   0.039352292 -0.049659119 -5.335826e-02   0.003664000
## BsmtFinSF1    -0.015726948  0.014358922  6.861387e-03   0.032855050
## BsmtFinType2   0.031902111 -0.033994247 -3.097741e-02   0.039735831
## BsmtFinSF2    -0.015210738  0.031705637 -1.888108e-02  -0.059092388
## BsmtUnfSF      0.034888443 -0.041258195 -9.086870e-02   0.097720494
## TotalBsmtSF    0.013196179 -0.014968648 -9.133304e-02   0.110853092
## Heating       -0.013796975  0.011829968  1.337834e-02   0.006668521
## HeatingQC     -0.001752828  0.008846283 -1.578582e-02  -0.169886356
## CentralAir     0.009845525 -0.009419641 -2.827951e-03   0.071165830
## Electrical    -0.008591883  0.034612783  1.188243e-02   0.102179303
## X1stFlrSF      0.031371560 -0.013603771 -1.114716e-01   0.075892560
## X2ndFlrSF      0.035164427 -0.028699914  5.384159e-02   0.037851079
## LowQualFinSF  -0.022173961 -0.028920880  9.993993e-03  -0.070760347
## GrLivArea      0.050239681 -0.036525820 -3.635576e-02   0.080729216
## BsmtFullBath  -0.025360894  0.067049138  2.669326e-02   0.011386125
## BsmtHalfBath   0.032872705 -0.046523882  7.714271e-03  -0.059263890
## FullBath       0.055872129 -0.019668841 -3.141178e-02   0.143863620
## HalfBath      -0.009049888 -0.010268669  3.242877e-02   0.072134639
## BedroomAbvGr   0.046543860 -0.036013893  3.787699e-02  -0.017357750
## KitchenAbvGr   0.026588907  0.031687207 -1.325644e-02  -0.066113482
## KitchenQual   -0.038071660 -0.009706414  3.874087e-02  -0.134391067
## TotRmsAbvGrd   0.036907077 -0.034516354 -3.950901e-02   0.070659752
## Functional     0.031783293 -0.015505773 -1.232160e-02   0.022892335
## Fireplaces     0.046357102 -0.024095565  1.901547e-02   0.105617690
## FireplaceQu   -0.030877980  0.007772431  8.415931e-02  -0.052596754
## GarageType    -0.003178686  0.008710949  4.149774e-02  -0.138910420
## GarageYrBlt    0.019150743 -0.011133802 -2.682227e-02   0.136211885
## GarageFinish   0.013816500 -0.008732797  2.974591e-02  -0.107787848
## GarageCars     0.040521730 -0.039116904 -7.035505e-02   0.184942741
## GarageArea     0.027973800 -0.027377940 -9.364230e-02   0.181284212
## GarageQual     0.019821476  0.030846824 -3.860974e-02   0.103912867
## GarageCond     0.012122897  0.018163837 -2.389617e-02   0.087348063
## PavedDrive     0.017154305  0.006555754 -3.270409e-02   0.071232589
## WoodDeckSF     0.021011044  0.022270451  6.144435e-02   0.058575179
## OpenPorchSF    0.071254885 -0.057619360 -1.484672e-02   0.061664944
## EnclosedPorch -0.028887266 -0.009915937 -2.061069e-02  -0.098387859
## X3SsnPorch     0.029473795  0.018644925 -8.727842e-03   0.004379303
## ScreenPorch    0.023216992  0.010694106  5.100306e-03  -0.020094770
## PoolArea      -0.033736640 -0.059688932  1.109702e-02  -0.067251260
## PoolQC         0.036368255  0.060904048 -1.365432e-02   0.097425472
## Fence         -0.009891608 -0.035366042 -1.198883e-02   0.100675352
## MiscFeature    0.013957241  0.057708499 -7.633116e-03  -0.008073855
## MiscVal       -0.006494550  0.004906262  1.467262e-02   0.013027392
## MoSold         1.000000000 -0.145721413 -4.669413e-02   0.013320330
## YrSold        -0.145721413  1.000000000 -7.908656e-03   0.003880426
## SaleType      -0.046694131 -0.007908656  1.000000e+00   0.178977677
## SaleCondition  0.013320330  0.003880426  1.789777e-01   1.000000000
## SalePrice      0.046432245 -0.028922585 -5.036954e-02   0.213092030
##                  SalePrice
## MSSubClass    -0.084284135
## MSZoning      -0.166872203
## LotFrontage    0.334770853
## LotArea        0.263843354
## Street         0.041035536
## Alley          0.083121121
## LotShape      -0.255579870
## LandContour    0.015453242
## Utilities     -0.014314296
## LotConfig     -0.067396023
## LandSlope      0.051152248
## Neighborhood   0.170941316
## Condition1     0.091154912
## Condition2     0.007512734
## BldgType      -0.085590608
## HouseStyle     0.180162623
## OverallQual    0.790981601
## OverallCond   -0.077855894
## YearBuilt      0.522897333
## YearRemodAdd   0.507100967
## RoofStyle      0.222405292
## RoofMatl       0.132383112
## Exterior1st    0.103551011
## Exterior2nd    0.103765537
## MasVnrType     0.018215771
## MasVnrArea     0.472585060
## ExterQual     -0.636883694
## ExterCond      0.117302657
## Foundation     0.382478991
## BsmtQual      -0.593733919
## BsmtCond       0.091503032
## BsmtExposure  -0.309042835
## BsmtFinType1  -0.098734368
## BsmtFinSF1     0.386419806
## BsmtFinType2   0.072717495
## BsmtFinSF2    -0.011378121
## BsmtUnfSF      0.214479106
## TotalBsmtSF    0.613580552
## Heating       -0.098812076
## HeatingQC     -0.400177543
## CentralAir     0.251328164
## Electrical     0.234944941
## X1stFlrSF      0.605852185
## X2ndFlrSF      0.319333803
## LowQualFinSF  -0.025606130
## GrLivArea      0.708624478
## BsmtFullBath   0.227122233
## BsmtHalfBath  -0.016844154
## FullBath       0.560663763
## HalfBath       0.284107676
## BedroomAbvGr   0.168213154
## KitchenAbvGr  -0.135907371
## KitchenQual   -0.589188778
## TotRmsAbvGrd   0.533723156
## Functional     0.115327917
## Fireplaces     0.466928837
## FireplaceQu   -0.097176387
## GarageType    -0.415283068
## GarageYrBlt    0.261354242
## GarageFinish  -0.425684254
## GarageCars     0.640409197
## GarageArea     0.623431439
## GarageQual     0.205962829
## GarageCond     0.246705274
## PavedDrive     0.231356952
## WoodDeckSF     0.324413445
## OpenPorchSF    0.315856227
## EnclosedPorch -0.128577958
## X3SsnPorch     0.044583665
## ScreenPorch    0.111446571
## PoolArea       0.092403549
## PoolQC        -0.126069739
## Fence          0.140640344
## MiscFeature   -0.066316149
## MiscVal       -0.021189580
## MoSold         0.046432245
## YrSold        -0.028922585
## SaleType      -0.050369536
## SaleCondition  0.213092030
## SalePrice      1.000000000
corrplot(cor(trainNorm))

PCA for further attribute analysis

library(factoextra)
## Warning: package 'factoextra' was built under R version 4.0.3
## Welcome! Want to learn more? See two factoextra-related books at https://goo.gl/ve3WBa
train.pca <- prcomp(trainNorm, scale = TRUE, center = TRUE)
fviz_eig(train.pca)

test.pca <- prcomp(testNorm, scale = TRUE, center = TRUE)
fviz_eig(test.pca)

library(MASS)
## Warning: package 'MASS' was built under R version 4.0.3
## 
## Attaching package: 'MASS'
## The following object is masked from 'package:dplyr':
## 
##     select
library(leaps)
## Warning: package 'leaps' was built under R version 4.0.3
model_train <- lm(SalePrice ~ ., data = data.frame(trainNorm))

full <- lm(SalePrice ~ ., data = data.frame(trainNorm))
null <- lm(SalePrice ~ 1, data = data.frame(trainNorm))

#Tried attributute valuation with stepwise regression. Too big.
#stepF <- stepAIC(null, scope = list(lower=null, upper=full), direction = "forward", trace = TRUE)
#subsets <- regsubsets(SalePrice~ ., data = data.frame(trainNorm), nbest = 1, nvmax = 10, really.big = TRUE)
#sub.sum <- summary(subsets)
#as.data.frame(sub.sum$outmat)

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